Embibe Experts Solutions for Chapter: Circular Motion, Exercise 1: TS EAMCET - 5 August 2021 Shift 2

An object moves along the circle with normal acceleration proportional to $t^{\alpha }$, where $t$ is the time and is $\alpha$ a positive constant. The power developed by all the forces acting on the object will have time dependence proportional to

A wheel undergoes a constant angular acceleration from time $t=0$ to $t=20 \mathrm{s}$ and thereafter angular acceleration is zero. If angular velocity at $t=2 \mathrm{s}$ is found to be $5 \mathrm{rad}/\mathrm{s},$ then the number of revolutions made by the wheel in time interval $t=0 \mathrm{s}$ to $t=50 \mathrm{s}$ is

What will be the minimum speed of the roller-coaster so that the passenger at the top, when becomes upside down, does not fall out? Consider the acceleration due to gravity as $10 \mathrm{m} {\mathrm{s}}^{-2},$ and the radius of curvature of the roller coaster is $10 \mathrm{m}.$

A car moves on a horizontal circular road of the radius, $16 \mathrm{m}$ with the increasing speed at a constant rate of $3 \mathrm{m} {\mathrm{s}}^{-2}.$ If the coefficient of friction between the road and tyre is $0.5,$ then the minimum speed at which the car will skid is (assume $\left.g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$