Question: A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to Ii(t) = Yt + pt, where

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to Ii(t) = Yt + pt, where 'Y = 0.400rad/s and p = 0.0l20rad/s3.
(a) Calculate the angular velocity of the merry-go-round as a function of time.
(b) What is the initial value of the angular velocity?
(c) Calculate the instantaneous value of the angular velocity wz at t = 5.00 s and the average angular velocity w xv-z for the time interval t = 0 to t = 5.00 s. Show that w av-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain why it is not.

Step by Step Solution

★★★★★

3.35 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY and SET UP Use Eq93 to calculate the angular vel... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-M-R-B (5).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The current in a wire varies with time according to the relationship I = 55 A - (0.65 A/S2)t2. (a) How many coulombs of charge pass a cross section of the wire in the time interval between t = 0 and...

The current in a wire varies with time according to the relation I = 20 + 3t2, where I is in amperes and t is in seconds. (a) How many coulombs are transported by the wire between t = 0 and t = 10 s?...

The current through a 3.2-mH inductor varies with time according to the graph shown in the drawing. What is the average induced emf during the time intervals (a) 0-2.0 ms, (b) 2.0-5.0 ms, and (c)...

Our F and rem A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 8(t)t + t where y = 0.367 rad/s and 8 = 14010- rad/s Calculate...

A boy is pushing his sister on a playground merry-go-round. The angle where the merry-go-round turned is varies with time according to the angular displacement function, ????(????) = ???????? +...

. A boy is pushing his sister on a playground merry-go-round. The angle where the merry-go-round turned is varies with time according to the angular displacement function, 0 (t) = at + bt where a and...

A boy is pushing his sister on a playground merry-go-round. The angle where the merry-go-round turned is varies with time according to the angular displacement function, 0(t) = at + bt where a and b...

A child is pushing a playground merry - go - round. The angle through which the merry - go - round has turned varies with time according to ( t ) = t + t 3 ( t ) = t + t 3 , where = 0 . 4 0 0 rad / s...

A child is pushing a merry - go - round. The angle through which the merry - go - round has turned varies with time according to ( t ) = t + t 3 where = 0 . 4 2 8 rad / s and = 1 . 3 5 1 0 2 rad / s...

A child is pushing a merry - go - round. The angle through which the merry - go - round has turned varies with time according to ( t ) = t + t 3 , where = 0 . 4 0 0 rad / s and = 0 . 0 1 3 5 rad / s...

What is the difference between spark-ignition and compression-ignition engines?

Question 2: (20 points) Consider the function signum sgn x = 1, -1, x > 0, x = 0, x

An import quota on foreign cars would cause (A) a decrease in GDP (B) higher prices for consumers (C) an increase in the total supply of cars (D) lower prices for consumers (E) an increase in GDP

The following is a reversible reaction (A) KCIO3 heated in a sealed tube (B) NazCO3 heated in a closed vessel (C) CaCO3 heated in a closed vessel (D) CH4 heated with excess of O2 in a closed vessel

For the reaction A(g) + B(g) + C(g), Kp at 400 Cis 1.5 x 10 and Kp at 600C is 6 x 10-3. Then the incorrect statement is (A) the reaction is an exothermic one (B) Increase in temperature increases the...

When 20g of CACO3 were put into 10 litre flask and heated to 800 C, 35% CACO, remained unreacted at equilibrium, Kp for decomposition of CACO3 is (A) 1.145 atm (B) 0.145 atm (C) 2.145 atm (D) 3.145...

For the reaction N2O4(9) 2NO21), if degrees of dissociation of N20, are 25%, 50% 75% and 100%, the gradation of observed vapour densities is : (A) di > d2 > da > d4 (B) d4 > d3 > d2 > di (C) di = dz...

The reactions PCI5) - PClo) + Cl) and COCl) = CO) + Clao) are simultaneously in equilibrium in an equilibrium box at constant volume. A few moles of CO) are later introduced into the vessel. After...

Tamika, a young entrepreneur, has been purpose-driven toward social change in her rural community. She has created solutions for pesticide runoff, erosion problems, and toxic well water. She has...

Eddy is a seasoned real estate investor who specializes in retail properties. Eddy learned the power of using leverage early in his investing career. Leverage_allows Eddy to realize a greater return...

This Question: 1 pt 6 of 8 (1 complete) This Test: 8 pts possi Assume the hold time of callers to a cable company is normally distributed with a mean of 2.1 minutes and a standard deviation of 0.9...

Stock A has a beta = 0.8, while Stock B has a beta = 1.6. Which of the following statements is CORRECT? a. If the marginal investor becomes more risk averse, the required return on Stock B will...