A particle moves with constant speed in a circle of radius 4 cm. It takes 8 s
Question:
A particle moves with constant speed in a circle of radius 4 cm. It takes 8 s to make a complete trip. Draw the path of the particle to scale, and indicate the particle’s position at 1-s intervals. Draw displacement vectors for each interval. These vectors also indicate the directions for the average-velocity vectors for each interval. Find graphically the change in the average velocity Δv for two consecutive 1-s intervals. Compare Δv/Δt, measured in this way, with the instantaneous acceleration computed from a = v2/r.
Step by Step Answer:
The path of the particle and its position at 1 s interva...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mechanics questions
-
A particle is moving clockwise in a circle of radius 1.00 m. At a certain instant, the magnitude of its acceleration is a = |a| = 25.0 m/s2, and the acceleration vector has an angle of θ...
-
A bicyclist travels in a circle of radius 25.0 m at a constant speed of 9.00 m/s. The bicycle-rider mass is 85.0 kg. Calculate the magnitudes of (a) The force of friction on the bicycle from the road...
-
A rectangle is inscribed in a circle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. (a) Express the area A of the...
-
The main ingredient of vinegar is acetic acid (HAc) that will dissociate into acetate (Ac - ) and hydrogen ion (H + ) in water: HAc < = > Ac - (aq) + H + (aq) . K HAc(room temp) = 1.8x10 -5 ....
-
Suppose that the strength of the electric field about an isolated point charge has a certain value at a distance of 1 m. How will the electric field strength compare at a distance of 2 m from the...
-
You serve on the board of directors of a multinational manufacturing company. You have just received a whistleblower complaint that one of the managers in another country, where a large production...
-
Indicate the three questions that are of concern in performing compliance tests and the auditing procedures used in these tests.
-
Shannon, Inc., changed from the LIFO cost flow assumption to the FIFO cost flow assumption in 2010. The increase in the prior years income before taxes is $1,200,000. The tax rate is 40%. Prepare...
-
Factor completely: 3x + 24x +45x
-
A bank has a business indicator (BI) of of 5.5 billion euros. It has had eight operational risk losses in the last 10 years. The amounts of the losses in millions of euros are: 3, 7, 15, 65, 85, 150,...
-
A block of mass m 1 is attached to a cord of length L 1 , which is fixed at one end. The block moves in a horizontal circle on a frictionless table. A second block of mass m 2 is attached to the...
-
A man swings his child in a circle of radius 0.75 m, as shown in the photo. If the mass of the child is 25 kg and the child makes one revolution in 1.5 s, what are the magnitude and direction of the...
-
Match the Internet-related computer fraud and abuse technique in the left column with the scenario in the right column. Terms on the left may be used once, more than once, or not atall. 1. Adware a....
-
Use this information to answer the questions in Problems 18-23. How many votes would be necessary for a majority? In voting among four candidates, the outcomes are reported as: (DACB) 5 (ADBC) 8...
-
Consider the following voting situation: Notice that there is no winner using the majority or plurality rules. a. Who would win in a runoff election by dropping the choice of the fewest first-place...
-
Consider a vote for four candidates with the following results: Use this information for Problems 9-11. If there is a tie, break the tie by having a runoff of the tied candidates. Who wins by the...
-
Use this information to answer the questions in Problems 12-17. a. If a person ranks \(A\) as her first choice, \(B\) as her second choice, and \(C\) last, how would this be written? b. How many...
-
Consider the following voting situation: Notice that there is no winner using the majority or plurality rules. a. Who would win in a runoff election by dropping the choice with the fewest first-place...
-
Paintball guns were originally developed to mark trees for logging. A forester aims his gun directly at a knothole in a tree that is 4.0 m above the gun. The base of the tree is 20 m away. The speed...
-
Determine two different Hamilton circuits in each of the following graphs. A B F G
-
How many unpaired electrons would you expect for each complex ion? a. [Cr(CN)6]4 b. [MnF6]4- C. [Ru(en)3]+
-
The four particles in Figure P10.21 are connected by rigid rods of negligible mass. The origin is at the center of the rectangle. If the system rotates in the xy plane about the z axis with an...
-
Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure P10.22. For an axis perpendicular to the rod, show that the system has the minimum moment of...
-
One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching the first one, a second snowball is thrown at a low angle timed to arrive...
-
How can the circular wait condition be detected and broken to prevent deadlock in complex systems with multiple interdependent resources ?
-
Case Study 1\ You have been appointed as a financial analyst for the Axis International Company, a profitable retail company. The director of Finance, belonging to the capital budgeting division has...
-
How can I find a rival hypothesis for my current thesis of Walmart's CEO should implement intra-team communication for all associates to help with communication barriers between managers and...
Study smarter with the SolutionInn App