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physics
mechanics
Applied Physics 10th Edition Dale ewen, Neill schurter, P. erik gundersen - Solutions
1. How many joules are in one kilowatt-hour?2. An endloader holds 1500 kg of sand 2.00 m off the ground for 3.00 min. How much work does it do?3. How high can a 10.0-kg mass be lifted by 1000 J of work?4. A 40.0-kg pack is carried up a 2500-m-high mountain in 10.0 h. How much work is done?
Find the average power output in Problem 4 in(a) Watts;(b) Horsepower.In Problem 4, A 40.0-kg pack is carried up a 2500-m-high mountain in 10.0 h. How much work is done?
1. A 10.0-kg mass has a potential energy of 10.0 J when it is at what height?2. A 10.0-lb weight has a potential energy of 20.0 ft lb at what height?3. At what speed does a 1.00-kg mass have a kinetic energy of 1.00 J?4. At what speed does a 10.0-N weight have a kinetic energy of 1.00 J?
What is the kinetic energy of a 3000-lb automobile moving at 55.0 mi/h?
1. What is the potential energy of an 80.0-kg diver standing 3.00 m above the water?2. What is the kinetic energy of a 0.020-kg bullet having a velocity of 550 m/s?3. What is the potential energy of an 85.0-kg high jumper clearing a 2.00-m bar?
1. A worker pulls a crate 10.0 m by exerting a force of 300 N.(a) How much work does the worker do? (b) How much work does the worker do pulling the crate a distance of 10.0 m by exerting the same force at an angle of 20.0° with the horizontal?2. A hammer falls from a scaffold on a building 50.0 m
1. Work is done when(a) A force is applied. (b) A person tries unsuccessfully to move a crate.(c) Force is applied and an object is moved.2. Power(a) Is work divided by time. (b) Is measured in newtons.(c) Is time divided by work. (d) None of the above.3. A large boulder at rest possesses(a)
1. Can work be done by a moving object on itself?2. Has a man swinging a sledgehammer done work if he misses the stake at which he is swinging?3. Develop the units associated with work from the components of the definition: work = force x displacement.4. Is work a vector quantity?5. Is work being
1. Is work being done by the weight of a grandfather clock?2. How could the power developed by a man pushing a stalled car be measured?3. How does water above a waterfall possess potential energy?4. What are two devices possessing gravitational potential energy?5. Is kinetic energy dependent on
1. At what point is the kinetic energy of a swinging pendulum bob at a maximum?2. At what point is the potential energy of a swinging pendulum bob at a maximum?3. Is either kinetic or potential energy a vector quantity?4. Can an object possess both kinetic and potential energy at the same time?5.
As part of their training, NASA astronauts are placed in large rotating machines to see how well their bodies can withstand various “g” forces. (One g equals the gravitational force of gravity at the earth’s surface.) (a) What rotational speed is needed in a device with radius 6.25 m to allow
Waterwheels are used to convert kinetic energy from falling water into useful mechanical energy.(a) If an average of 10.0 kg of water flows onto a waterwheel every second, how much torque does the water exert on a waterwheel of radius 2.45 m?(b) The torque exerted by the water causes the wheel to
In Chapter 8 (Figure), you were asked to calculate the velocity of a frictionless roller coaster car at various locations around the track. To make sure the loops are safe, you must make sure the track can support between two and five times the normal weight (that is, between 2 g and 5 g) of a
A hairpin turn on a concrete racetrack has a radius of 117 ft.(a) Since the frictional force between the road and the tires acts as the centripetal force, find the vehicle’s maximum possible speed around the turn. (The coefficient of starting friction between rubber and concrete is 2.00.)(b) What
(a) How much power does a motorcycle need to produce 72.0 lb ft of torque while the engine crankshaft rotates at 30000 rpm? (b) When shifted into a higher gear, the same amount of power rotates the engine crankshaft at 5000 rpm. How much torque does the engine produce in this higher gear?(c) Using
1. Convert 6 ½ revolutions (a) To radians. (b) To degrees. 2. Convert 2880°(a) To revolutions.(b) To radians.3. Convert 25π rad (a) To revolutions. (b) To degrees. 4. Convert 12.0 revolutions(a) To radians.(b) To degrees.
Find the angular speed in Problems 5–10.1. Number of revolutions = 525 t = 3.42 min ω = _______rpm2. Number of revolutions = 7360t = 37.0 sω = _______rev/s3. Number of revolutions = 4.00t = 3.00 s ω = _______rad/s 4. Number of revolutions = 325t = 5.00 minω = _______rpm5. Number of
1. Convert 675 rad/s to rpm. 2. Convert 285 rpm to rad/s.3. Convert 136 rpm to rad/s. 4. Convert 88.4 rad/s to rpm.5. A motor turns at a rate of 11.0 rev/s. Find its angular speed in rpm.6. A rotor turns at a rate of 180 rpm. Find its angular speed in rev/s.
A rotating wheel completes one revolution in 0.150 s. Find its angular speed(a) In rev/s. (b) In rpm. (c) In rad/s.
A rotor completes 50.0 revolutions in 3.25 s. Find its angular speed(a) In rev/s.(b) In rpm.(c) In rad/s.
A flywheel rotates at 1050 rpm.(a) How long (in s) does it take to complete one revolution?(b) How many revolutions does it complete in 5.00 s?
A wheel rotates at 36.0 rad/s.(a) How long (in s) does it take to complete one revolution?(b) How many revolutions does it complete in 8.00 s?
1. A shaft of radius 8.50 cm rotates 7.00 rad/s. Find its angular displacement (in rad) in 1.20 s.2. A wheel of radius 0.240 m turns at 4.00 rev/s. Find its angular displacement (in rev) in 13.0 s.3. A pendulum of length 1.50 m swings through an arc of 5.0°. Find the length of the arc through
A flywheel of radius 25.0 cm is rotating at 655 rpm.(a) Express its angular speed in rad/s.(b) Find its angular displacement (in rad) in 3.00 min.(c) Find the linear distance traveled (in cm) by a point on the rim in one complete revolution.(d) Find the linear distance traveled (in m) by a point on
An airplane propeller with blades 2.00 m long is rotating at 1150 rpm.(a) Express its angular speed in rad/s.(b) Find its angular displacement in 4.00 s.(c) Find the linear speed (in m/s) of a point on the end of the blade.(d) Find the linear speed (in m/s) of a point 1.00 m from the end of the
An automobile is traveling at 60.0 km/h. Its tires have a radius of 33.0 cm.(a) Find the angular speed of the tires (in rad/s).(b) Find the angular displacement of the tires in 30.0 s.(c) Find the linear distance traveled by a point on the tread in 30.0 s.(d) Find the linear distance traveled by
Find the angular speed (in rad/s) of the following hands on a clock.(a) Second hand(b) Minute hand(c) Hour hand
A bicycle wheel of diameter 30.0 in. rotates twice each second. Find the linear velocity of a point on the wheel.
A point on the rim of a flywheel with radius 1.50 ft has a linear velocity of 30.0 ft/s. Find the time for it to complete 4p rad.
The earth rotates on its axis at an angular speed of 1 rev/24 h. Find the linear speed (in km/h) (a) Of Singapore which is nearly on the equator. (b) Of Houston which is approximately 30.0° north latitude. (c) Of Minneapolis which is approximately 45.0° north latitude. (d) Of Anchorage which is
1. A truck tire rotates at an initial angular speed of 21.5 rad/s. The driver steadily accelerates, and after 3.50 s the tire’s angular speed is 28.0 rad/s. What is the tire’s angular acceleration during its linear acceleration?2. Find the angular acceleration of a radiator fan blade as its
A wheel of radius 20.0 cm starts from rest and makes 6.00 revolutions in 2.50 s.(a) Find its angular velocity in rad/s.(b) Find its angular acceleration.(c) Find the final linear speed of a point on the rim of the wheel.(d) Find the linear acceleration of a point on the rim of the wheel.
A circular disk 30.0 cm in diameter is rotating at 275 rpm and then uniformly stops within 8.00 s.(a) Find its angular acceleration.(b) Find the initial linear speed of a point on its rim.(c) How many revolutions does the disk make before it stops?
A rotating flywheel of diameter 40.0 cm uniformly accelerates from rest to 250 rad/s in 15.0 s.(a) Find its angular acceleration.(b) Find the linear velocity of a point on the rim of the wheel after 15.0 s.(c) How many revolutions does the wheel make during the 15.0 s?
1. Given: m = 64.0 kgv = 34.0 m/sr = 17.0 mF = _____ N2. Given: m = 11.3 slugsv = 3.00 ft/sr = 3.24 ftF = _____ lb3. Given: F = 2500 lbv = 47.6 ft/sr = 72.0 ftm = _____ slugs4. Given: F = 587 Nv = 0.780 m/sm = 67.0 kgr = _____ m5. Given: F = 602 Nm = 63.0 kgr = 3.20 mv = _____ m/s6. Given: m = 37.5
1. An automobile of mass 117 slugs follows a curve of radius 79.0 ft with a speed of 49.3 ft/s. What centripetal force is exerted on the automobile while it is rounding the curve?2. Find the centripetal force exerted on a 7.12-kg mass moving at a speed of 2.98 m/s in a circle of radius 2.72 m.3.
The centripetal force on a runner is 17.0 lb. If the runner weighs 175 lb and his speed is 14.0 mi/h, find the radius of the curve.
An automobile with mass 1650 kg is driven around a circular curve of radius 150 m at 80.0 km/h. Find the centripetal force of the road on the automobile.
A cycle of mass 510 kg rounds a curve of radius 40 m at 95 km/h. What is the centripetal force on the cycle?
1. What is the centripetal force exerted on a rock with mass 3.2 kg moving at 3.5 m/s in a circle of radius 2.1 m?2. What is the centripetal force on 1500-kg a vehicle driven around a curve of radius 35.0 m at 60.0 km/h?3. What is the centripetal force on a 750-kg vehicle rounding a curve of radius
A truck with mass 215 slugs rounds a curve of radius 53.0 ft with a speed of 62.5 ft/s.(a) What centripetal force is exerted on the truck while rounding the curve?(b) How does the centripetal force change when the velocity is doubled?(c) What is the new force?
A 225-kg dirt bike is rounding a curve with linear velocity of 35 m/s and an angular speed of 0.25rad/s. Find the centripetal force exerted on the bike.
1. A 55,000-kg truck rounds a curve at 62.0 km/h. If the radius of the curve is 38.0 m, what is the centripetal force on the truck?2. The radius of a curve is 27.5 m. What is the centripetal force on a 10,000-kg truck going around it at 35.0 km/h?
1. Given: τ = 125 lb ftω = 555 rpmP = ________ft lb /s2. Given: τ = 39.4 N mω = 6.70 / sP = ________W3. Given: τ = 372 lb ftω = 264 rpmP = ________hp4. Given: τ = 650 N mω = 45.0 / sP = ________kW5. Given: P = 8950 Wω = 4.80/sτ = ________6. Given: P = 650 Wτ = 540 N mω = ________
1. What horsepower is developed by an engine with torque 400 lb ft at 4500 rpm?2. What torque must be applied to develop 175 ft lb/s of power in a motor if ω = 394 rpm?3. Find the angular velocity of a motor developing 649 W of power with torque 131 N m.4. A high-speed industrial drill develops
What power (in hp) is developed by an engine with torque 524 lb ft?(a) At 3000 rpm? (b) At 6000 rpm?
1. Find the angular velocity of a motor developing 650 W of power with a torque of 130 N m.2. A drill develops 0.500 kW of power at 1800 rpm. What torque is applied to the drill bit?3. What power is developed by an engine with torque 750 N m applied at 4500 rpm?4. A tangential force of 150 N is
1. Find the power developed by an engine with a torque of 1200N m applied at 2000 rpm.2. Find the power developed by an engine with a torque of 1600 N m applied 1500 at rpm.3. Find the power developed by an engine with torque 1250 N m applied at 5000 rpm.4. Find the angular velocity of a motor
What power is developed when a tangential force of 175 N is applied to a flywheel of diameter 86 cm, causing it to have an angular velocity of 36 revolutions per 6.0 s?
What power is developed when a tangential force of 250 N is applied to a wheel 57.0 cm in diameter with an angular velocity of 25.0 revolutions in 13.0 s?
An engine develops 1.50 kW of power at 10,000 revolutions per 5.00 min. What torque is applied to the engine’s crankshaft?
1. A mechanic tightens engine bolts using 45.5 N m of torque at a rate of 2.75 rad/s. How many watts of power is used to tighten the bolts?2. An ag mechanic tightens implement bolts using 52.5 N m of torque at a rate of 2.25 rad/s. What power does the mechanic develop in tightening the bolts?
Fill in theblanks.
1. A driver gear has 36 teeth and makes 85.0 rpm. Find the rpm of the driven gear with 72 teeth.2. A motor turning at 1250 rpm is fitted with a gear having 54 teeth. Find the speed of the driven gear if it has 45 teeth.3. A gear running at 250 rpm meshes with another revolving at 100 rpm. If the
1. A driver gear has 72 teeth and makes 162 rpm. Find the rpm of the driven gear with 81 teeth.2. A driver gear with 60 teeth makes 1600 rpm. How many teeth must the driven gear have if it makes 480 rpm?3. What size gear should be meshed with a 20-tooth pinion to achieve a speed reduction of 3 to
If gear A turns in a clockwise motion, determine the motion of gear B in each geartrain.
Find the speed in rpm of gear D in each geartrain.
Find the number of teeth for gear D in each gear train.1.2.3.4.5.6. Find the direction of rotation of gear B if gear A is turned counterclockwise in Problems 22 through 28.7. Find the effect of doubling the number of teeth on gear A in Problem38.
Find each missing quantity using D N = d n.
1. A driver pulley of diameter 6.50 in. revolves at 1650 rpm. Find the speed of the driven pulley if its diameter is 26.0 in.2. A driver pulley of diameter 25.0 cm revolves at 120 rpm. At what speed will the driven pulley turn if its diameter is 48.0 cm?3. One pulley of diameter 36.0 cm revolves at
Determine the direction of pulley B in each pulley system.1.2.3.4.5.6. What size pulley should be placed on a countershaft turning 150 rpm to drive a grinder with a 12.0-cm pulley that is to turn at 1200rpm?
Convert 13 revolutions to (a) Radians (b) Degrees.
1. A bicycle wheel turns 25p rad during 45 s. Find the angular velocity of the wheel.2. A lawn tractor tire turns at 65.0 rpm and has a radius of 13.0 cm. Find the linear speed of the tractor in m/s.3. A model plane pulls into a tight curve of a radius of 25.0 m. The 300-g plane is traveling at
1. A motor generates 300 W of power. The torque necessary is 50.0 N m. Find the angular velocity.2. Two rollers are side by side, with the large one turning the small one. The diameter of the small one is 2.00 cm and it turns at 15.0 rpm. The large roller has a diameter of 5.00 cm. How many
1. A pulley of diameter 14.0 cm is driven by an electric motor to revolve 75.0 rpm. The pulley drives a second one of diameter 10.0 cm. How many revolutions does the second pulley make in 1.00 min?2. A pulley of diameter 5.00 cm is driven at 100 rpm. Find the diameter of a second pulley if it is
1. Angular velocity is measured in(a) Revolutions/minute. (b) Radians/second.(c) Revolutions/second. (d) All of the above.2. Power in the rotational system(a) Is found in the same way as in the linear system.(b) Is found differently than it is in the linear system.(c) Cannot be determined. (d) Is
1. Name the two types of measurement of rotation.2. In your own words, define radian.3. What is angular displacement? In what units is it measured?4. How is linear velocity of a point on a circle related to angular velocity?5. How do equations for uniformly accelerated rotational motion compare
1. A girl jumping from a high platform into a pool tucks her body into a tight ball to complete two somersaults before extending her body as she enters the water. Her body rotates much more quickly during the somersaults than during her extension into the water. This is an example of what law?2. Is
1. When the number of directly connected gears in a gear train is four, do the first and last gears in the train rotate in the same or in opposite directions?2. Why can a gear that is both a driver gear and a driven gear be omitted from a computation?3. How do pulley combination equations compare
In the third century BC, Archimedes said, “Give me a long enough lever and a firm fulcrum and I will lift the earth.” (a) Using the moon as a fixed fulcrum, how long a lever would Archimedes have needed to lift the earth? (b) What would be the mechanical advantage of such a simple machine?
(a) What is the mechanical advantage of the fishing pole in Figure?(b) If the fishermans hand moves forward 30.5 cm, how far will the tip of the fishing pole move? (c) How fast will the tip of the fishing pole move if the forward motion is completed in 0.554 s? (d) In general, what is
A snowblower auger has a radius of 7.75 in. and a pitch of 6.80 in. (a) What is the mechanical advantage of this auger system? (b) How much effort force is needed for the auger to throw 23.4 lb of snow?(c) What happens to the mechanical advantage if the pitch is reduced?
Aaron, a bicycle mechanic, is studying the mechanical advantage of the rear wheel. The rear wheels radius is 14.0 in. and the chain is currently on a gear with radius 1.65 in. (Figure).(a) If the chain applies a force of 54.5 lb on the wheel, what is the mechanical advantage of the
Willie is using a wheelbarrow (Figure) to move 345 lb of patio blocks.(a) What is the mechanical advantage of the wheelbarrow handles?(b) What is the mechanical advantage of the wheelbarrow’s wheel-and-axle?(c) How can the design of the wheelbarrow be altered to increase the
Given FR SR = FE SE, find each missingquantity.
Given MA lever = FR/FE, find each missingquantity.
Given MA lever = SE/SR, find each missingquantity.
A pole is used to lift a car that fell off a jack (Figure). The pivot is 2.00 ft from the car. Two people together exert 275 lb of force 8.00 ft from the pivot.(a) What force is applied to the car? (Disregard the weight of the pole.)(b) Find theMA.
A bar is used to lift a 100-kg block of concrete. The pivot is 1.00 m from the block.(a) If the worker pushes down on the other end of the bar a distance of 2.50 m from the pivot, what force (in N) must the worker apply?(b) Find the MA.
A wheelbarrow 6.00 ft long is used to haul a load.(a) How far from the wheel is the load placed so that a person can lift the load with a force of 45.0 lb?(b) Find the MA.
(a) Find the force, FE, pulling up on the beam holding the sign shown in Figure.(b) Find theMA.
Given FR rR = FE rE, find each missingquantity.
Given MA wheel-and-axle = rE / rR, find each missingquantity.
1. A wheel with radius 75.0 cm is attached to an axle of radius 13.6 cm. What force must be applied to the rim of the wheel to raise a 1000-n weight?2. An axle of radius 12.0 cm is used with a wheel of radius 62.0 cm. What force must be applied to the rim of the wheel to lift a weight of 975 N?
The radius of the axle of a winch is 3.00 in. The length of the handle (radius of wheel) is 1.50 ft.(a) What weight will be lifted by an effort of 73.0 lb?(b) Find the MA.
A wheel of radius of 70.0 cm is attached to an axle of radius 20.0 cm.(a) What force must be applied to the rim of the wheel to raise a weight of 1500 N?(b) Find the MA.(c) What weight can be lifted if a force of 575 N is applied?
The diameter of the wheel of a wheel-and-axle is 10.0 cm.(a) If a force of 475 N is raised by applying a force of 142 N, find the diameter of the axle.(b) Find the MA.
Two persons use a large winch to raise a mass of 470 kg. The radius of the wheel is 48 cm and the radius of the axle is 4.0 cm.(a) What force is required to lift the load?(b) Find the MA of the windlass.(c) If the efficiency of the windlass is 60% and each person exerts the same force, how much
Find the mechanical advantage of each pulley system.1.2.3.4.5.6.7.8.
Draw each pulley system for Problems 9–15.1. One fixed and two movable. Find the system’s MA.2. Two fixed and two movable with an MA of 5.3. Three fixed and three movable with an MA of 6.4. Four fixed and three movable. Find the system’s MA.5. Four fixed and four movable with an MA of 8.6.
(a) What effort will lift a 250-lb weight by using a single movable pulley?(b) If the weight is moved 15.0 ft, how many feet of rope are pulled by the person exerting the effort?
A system consisting of two fixed pulleys and two movable pulleys has a mechanical advantage of 4.(a) If a force of 97.0 N is exerted, what weight is raised?(b) If the weight is raised 20.5 m, what length of rope is pulled?
A 400-lb weight is lifted 30.0 ft.(a) Using a system of one fixed and two movable pulleys, find the effort force and effort distance.(b) If an effort force of 65.0 N is applied through an effort distance of 13.0 m, find the weight of the resistance and the distance it is moved.
1. Can an effort force of 75.0 N lift a 275-N weight using the pulley system in Problem 3? In Problem 3, find the mechanical advantage of each pulley system.2. (a) What effort will lift a 1950-N weight using the pulley system in Problem 5? In Problem 5, find the mechanical advantage of each pulley
1. Complete the following pulley system mechanical advantage chart, which lists two possible arrangements of fixed and movable pulleys for each given mechanical advantage. Can you arrange a pulley system containing 10 pulleys and obtain a mechanical advantage of 12? Why or why not?2. Can you
Given FR height = FE length, find each missingquantity.
Given MA inclined plane = length of plane / height of plane, find each missingquantity.
An inclined plane is 10.0 m long and 2.50 m high.(a) Find its mechanical advantage.(b) A resistance of 727 N is pushed up the plane. What effort is needed?(c) An effort of 200 N is applied to push an 815-N resistance up the inclined plane. Is the effort enough?
A safe is loaded onto a truck whose bed is 5.50 ft above the ground. The safe weighs 538 lb.(a) If the effort applied is 140 lb, what length of ramp is needed?(b) What is the MA of the inclined plane?(c) Another safe weighing 257 lb is loaded onto the same truck. If the ramp is 21.1 ft long, what
1. A 3.00-m-long plank is used to raise a cooling unit 1.00 m. What is the MA of the ramp made by the plank?2. A 2.75-m-long board is used to slide a compressor a vertical distance of 0.750 m. What is the MA of the ramp made by the board?
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