Question 77: Work, Energy and Power & Circular Motion

Question

A body is moving with constant speed, in a circle of radius $10 \mathrm{~m}$. The body completes one revolution in $4 \mathrm{~s}$. At the end of 3rd second, the displacement of body (in $\mathrm{m}$ ) from its starting point is :

Accepted Answer

$$
\begin{aligned}
& \mathrm{\omega}=\frac{2 \pi}{\mathrm{T}}=\frac{2 \pi}{4}=\frac{\pi}{2} \mathrm{rad} / \mathrm{s} \\
& 	heta=\mathrm{\omega t} \\
& 	heta=\frac{\pi}{2} 	imes 3 \\
& 	heta=\frac{3 \pi}{2} \mathrm{rad}
\end{aligned}
$$
$$
\begin{aligned}
& r=10 \mathrm{~m} \\
& T=4 \mathrm{sec} \\
& d=\sqrt{2}(10) \mathrm{m}
\end{aligned}
$$

Answer

$15 \pi$

Answer

30

Answer

$10 \sqrt{2}$

Answer

$5 \pi$

Work, Energy and Power & Circular Motion

A body is moving with constant speed, in a circle of radius 10 \mathrm{~m}. The body completes one revolution in 4 \mathrm{~s}. At the end of 3rd second, the displacement of body (in \mathrm{m} ) from its starting point is :

Choose the correct answer: