A wheel starting with angular velocity of 10 rad/sec acquires angular velocity of 100 rad/sec in 15 seconds. If angular acceleration of wheel is constant, what will be the angular displacement of a point on the wheel in 15 seconds?

Sawyer Burch

Sawyer Burch

Answered question

2023-03-19

A wheel starting with angular velocity of 10 rad/sec acquires angular velocity of 100 rad/sec in 15 seconds. If angular acceleration of wheel is constant, what will be the angular displacement of a point on the wheel in 15 seconds?

Answer & Explanation

kokheleka36tx

kokheleka36tx

Beginner2023-03-20Added 7 answers

ω_o=10 rad/sec, ω_1=100 rad/sec, t=15 sec
ω_1=ω_o+αt
100=10+α*15
-> α=6 rad/sec^2
theta=ω_o t+1/2 αt^2
theta=10*15+1/2*6*15^2
-> theta=825 rad

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