flywheel with a radius of .20m is connected to an electric motor that is rotatin

Question

flywheel with a radius of .20m is connected to an electric motor that is rotating in LO range at 145 rad/s. When the motor is switched to HI range it takes 2.4 s to reach a final angular velocity of 265 rad/s.

A. What is the average acceleration, of the flywheel during acceleration?

B. Through what angle, does the flywheel turn during its acceleration?

C. What is the tangential acceleration, at of a point on the rim of the flywheel while it is accelerating?

D. What is the tangential velocity, vt of a point on the rim of the flywheel while it is rotating at 265 rad/s?

E. The motor is switched off and the flywheel deccelerates to stop at a rate of -25.0 rad/s2 . Calculate the the time t it takes for the flywheel to stop and the number of revolutions ut turns through in coming to rest?

Explanation / Answer

Part A)

f = o + t

265 = 145 + ()(2.4)

= 50 rad/s2

Part B)

f2 = i2 + 2

(265)2 = (145)2 + (2)(50)()

= 492 rad

Part C)

at = r = (.2)(50)

at = 10 m/s2

Part D)

vt = r = (.2)(265)

vt = 53 m/s

Part E

f = o + t

0= 265 + (-25)(t)

t = 10.6 sec

f2 = i2 + 2

(0)2 = (265)2 + (2)(25)()

= 1404.5 rad amd since there are 2 rad per rev

1404.5/2 = 223.5 revolutions

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