The angular velocity of a particle moving along a circle of radius 50 cm is increased in 5 minutes from hundred revolutions per minute to 400 revolutions per minute find linear acceleration?
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Answer:
r= 0.5m = 1÷2
T =5min =300 s
V1= 2 pi ×400÷60
v2 = 2 pi ×100÷60
Angular velocity = tv
V 1 = 2 pi ×100 ÷120 = 15 pi ÷3
V2= 2 pi ×400 ÷120 = 20 pi ÷ 3
A = v2 _ v1 ÷ t
=( 20 pi ÷3 - 15 pi ÷ 3 ) ÷ 300
= pi ÷ 60 m /s^2
Explanation:
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