Rotational Position The rotational position of apoint on a rotating wheel is giv

Question

Rotational Position The rotational position of apoint on a rotating wheel is given by =1 + 3t2 + 3t3, where is inradians and t is in seconds. (a) At t = 0, what is the point'srotational position?
1 rad
(b) At t = 0, what is the point's rotational velocity?
2 rad/s
(c) What is the point's rotational velocity at t = 4.0s?
3 rad/s
(d) Calculate the point's rotational acceleration at t =2.0 s.
4 rad/s2
(e) Is the rotational acceleration constant? 5 yes
no
not enough information todecide


Section 11.2 The Rotational Variables (a) At t = 0, what is the point'srotational position?
1 rad
(b) At t = 0, what is the point's rotational velocity?
2 rad/s
(c) What is the point's rotational velocity at t = 4.0s?
3 rad/s
(d) Calculate the point's rotational acceleration at t =2.0 s.
4 rad/s2
(e) Is the rotational acceleration constant? 5 yes
no
not enough information todecide
5 yes
no
not enough information todecide
5 yes
no
not enough information todecide
5

Explanation / Answer

a)rotational point at t=0 is =1 radian(by substituting) b)by differentiating with respect to time we get =6t+27t2 at t=0 =0rad/s c)at t=4s =456rad/s d)rotational acceleration=d/dt=6+54t at t=2s =114rad/s2 rotational acceleration is notconstant

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