Embibe Experts Solutions for Chapter: Circular Motion, Exercise 1: AP EAPCET Medical 2019 (24-Apr Shift-1)

The angular velocity of a ceiling fan reduces to $50\%$ after $36$ rotations since it is switched off. Assuming uniform retardation, the number of rotations it further makes before coming to rest is $\underline{ }$

A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector $\overrightarrow{a},$ is correctly shown in which of the following figure ?

A student whirls a stone in a horizontal circle of radius $5 \mathrm{m}$ at height of $5 \mathrm{m}$ above ground. The string breaks and the stone flies off horizontally. The stone covers a horizontal distance of $20 \mathrm{m}.$ The magnitude of centrifugal acceleration of the stone when it breaks off is $\left(\mathrm{g}=10 \mathrm{m}·{\mathrm{s}}^{-2}\right)$

An insect trapped in a circular groove of radius $12 \mathrm{cm}$ moves along the groove steadily and completes $7$ revolutions in $100$ seconds. The linear speed of the insect is _______

A body, initially at rest, starts rotating with a uniform acceleration and covers $100\pi \mathrm{rad}$ in the first $5$ seconds. Its angular speed at the end of $5$ seconds is

A particle is moving in a circle and is uniformly gaining speed. Match the following physical quantities:

The Earth (of mass $6\times {10}^{24} \mathrm{kg}$ ) revolves round the sun with an angular velocity of $2\times {10}^{-7} \mathrm{rad} {\mathrm{s}}^{-1}$ in a circular orbit of radius $1.5\times {10}^{11} \mathrm{km}.$ The force exerted by the sun on the earth is $\underline{ }$
 

A cycle turns around a curve at $25$ miles per hour. If he turns at double the speed, the tendency to overturn is _______