Question

A ball trapped in a circular path of radius 10 centimetre most readily and complete 10 revolutions in 100 seconds what is the linear velocity and angular velocity

Answer 1

I think it is helpful

linear velocity and angular velocity is 0.1 and 0.2 respectively

Answer 2

Answer with Explanation:

$radius, r = 10 cm = 0.1 m$

$angula speed,$ ω$= 10 revolution in 100 s$

ω $=$ $10/100$ $*2$π$r$ ······················· $[because 1 revolution = 2$π$r]$

ω $=$ $110 * 2 * 3.14 * 0.1 = 0.0628 rad/s$

$linear speed, v = r$ω

$v = 0.1 * 0.0628 = 0.00628 m/s$

Linear Velocity:

The rate of change of linear displacement, s, with respect to time, t, and for motion in a straight line is defined as linear velocity, v.

$v = s/t$

Angular Velocity:

The revolution of a wheel or shaft is typically measured in revolutions per minute or revolutions per second, but these units are not part of a coherent system of units. The basis in SI units is the angle turned in one second.

Angular velocity is defined as the rate of change of angular displacement, with respect to time, t, for an object rotating at a constant speed about a fixed axis:

ω $=$ θ$/t$

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