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Question

The angular position of a rotating disc is given as θ=6t2+5t4 where θ is in radians, t is in seconds. What is the average angular velocity for the first time interval from t=0 (s) to t=4 (s)?

A
29 rad/s
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B
18 rad/s
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C
4 rad/s
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D
27 rad/s
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Solution

The correct option is A 29 rad/s
Given,
Angular position θ=(6t2+5t4) rad
Average angular velocity ωavg=ΔθΔt
ωavg=θfθitfti=θ(t=4 s)θ(t=0 s)40
Here, θ(t=0 s)=6(0)+5(0)4
=4 rad/s
θ(t=4 s)=6×(4)2+5×(4)4
=112 rad/s
ωavg=112(4)40
ωavg=29 rad/s

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