Inco A person is riding a bicycle, and its wheels have an angular velocity of 18

Question

Inco A person is riding a bicycle, and its wheels have an angular velocity of 18.9 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 14.0 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel? (a) Number (b) Number TT 9.31 Unit rad/s 2 LINK TO TEXT By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 1 of 3 used SAVE POR LATER SUBMIT ANSWER

Explanation / Answer

Please Interchange your answer of part A and B. Explanation is given below:

Part B

wi = 18.9 rad/sec

wf = 0 rad/sec

theta = 14 rev = 14*2*pi = 87.96 rad

We know that

wf^2 = wi^2 + 2*alpha*theta

alpha = angular acceleration = ?

alpha = (0^2 - 18.9^2)/(2*87.96)

alpha = -2.03 rad/sec^2 (Part B)

Part A

wf = wi + alpha*t

t = (wf - wi)/alpha

t = (0 - 18.9)/(-2.03)

t = 9.31 sec (Part A)

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