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Chapter 3: Q3-3.4-17E (page 116)

In Problem 16, let I = 50 kg-m2 and the retarding torque be N-mIf the motor is turned off with the angular velocity at 225 rad/sec, determine how long it will take for the flywheel to come to rest.

Short Answer

Expert verified

The flywheel takes to come to rest in300 sec.

Step by step solution

01

Find the value of time

The equation is

Id蝇dt=-T150d蝇dt=-5蝇-10鈭�d蝇蝇=鈭�dt\begingathered-20蝇=t+c蝇(t)=(-t20+c)2\endgathered-20蝇=t+c蝇(t)=(-t20+c)2

02

Apply the given conditions

When 蝇0=225 , c = 15

蝇(t)=(-t20+15)2t=20(15-蝇(t))

at the moment when flywheel stopes rotating (t)=0,

so,t = 300 sec

Hence, the flywheel takes to come to rest in 300 sec.

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