If a cycle wheel of radius $4 \,m$ completes one revolution in two seconds. Then acceleration of a point on the cycle wheel will be
${\pi ^2}m/{s^2}$
$2{\pi ^2}m/{s^2}$
$4{\pi ^2}m/{s^2}$
$8\pi \,m/{s^2}$
A wheel completes $2000$ revolutions to cover the $9.5\, km$. distance. then the diameter of the wheel is
A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $9 \mathrm{~m}$ and completes $120$ revolutions in $3$ minutes. The magnitude of centripetal acceleration of monkey is (in $\mathrm{m} / \mathrm{s}^2$ ):
The angular speed of a fly wheel making $120$ revolutions/minute is
A horizontal curve on $a$ racing track is banked at a $45^o $ angle. When a vehicle goes around this curve at the curve’s safe speed (no friction needed to stay on the track), what is its centripetal acceleration?
A particle is moving in $x y$-plane in a circular path with centre at origin. If at an instant the position of particle is given by $\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})$, then velocity of particle is along .......