Angular displacement

**tomjay** · July 13th 2012, 09:57 PM

The angular displacement, θ radians, of the spoke of a wheel is given by
the expression θ = 0.5t4 – t3, where t is time in seconds.
Find:
(a) The angular velocity after 2 seconds.

(b) The angular acceleration after 3 seconds.

(c) The time when the angular acceleration is zero.

**Prove It** · July 13th 2012, 10:00 PM

Is that $\displaystyle \begin{align*} \theta = 0.5t^4 - t^3 \end{align*}$ ?

**richard1234** · July 13th 2012, 10:36 PM

Find $\frac{d \theta}{dt}$ and $\frac{d^2 \theta}{dt^2}$ first.

**tomjay** · July 14th 2012, 09:37 AM

yes it is sorry for the bad typing

**Prove It** · July 14th 2012, 10:15 PM

Hint: Velocity is the derivative of displacement, and acceleration is the derivative of velocity (so the second derivative of displacement).

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