Wheel A of radius r A = 10cm is coupled by a belt C to another wheel of radius r B = 25 cm as in the figure. The belt does not slip. At time t = 0 wheel A increases it ’ s angular speed from rest at a uniform rate of 
/2 rad/sec 2. Find the time in which wheel B attains a speed of 100 rpm (wheel are fixed).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(50/3 sec.)
Sol. Since belt is not slipping, speed at rim of A and B is same
ω A r A = ω B r B
ω A = 100 × 
= 250 rpm = 250 × 
rad/sec.
= 
rad/sec.
ω = ω 0 + α t
t = 
= 
sec.
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