Embibe Experts Solutions for Chapter: Circular Motion, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A solid body rotates with angular velocity $\omega =at \hat{\mathrm{i}}+b{t}^2 \hat{\mathrm{j}}$ where $a=1 \mathrm{rad} {\mathrm{s}}^{-2}$ and $b=0.5 \mathrm{rad} {\mathrm{s}}^{-3}$ and $t$ is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at $t=1 \sec$.

A racing car travelling on a circular racetrack starts decelerating. Identify the incorrect statement from the following,

The length of minute hand in a clock is $4.5 \mathrm{cm}.$ If the tip of the minute hand moves from $6 \mathrm{AM}$ to $6.30 \mathrm{AM},$ the average velocity of the tip is,

A simple pendulum is suspended from the ceiling of a car taking a turn of radius $10 \mathrm{m}$ at a speed of $10 \mathrm{m} {\mathrm{s}}^{-1}.$ Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. (Assume $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)