Question

a) 4
b)
c)2
If a particle in a rigid body revolves through 120° in Te minutes then its angular velocity will be
314​

Answer 1

pie/120

= 180/120

= 0/0 cancel

= 18/12

= 9/6

= 3/2

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Answer 2

Concept:

As a vector number that indicates an object's angular speed or rotational speed as well as the axis around which it is spinning, angular velocity is defined as the rate of change of angular displacement.

A rigid body is a solid object whose deformation is either nonexistent or so negligible as to be ignored. No matter what forces or moments are applied to a rigid body, the distance between any two locations on it remains constant over time. Typically, a rigid body is thought of as having a constant distribution of mass.

Given:

A rigid body has a particle that rotates through 120 degrees in ten minutes.

Find:

The angular velocity of the particle.

Solution:

The particle revolves through an angle, θ = 120° = 240π rad

The time taken for the particle to revolve, t = 10 min = 600 sec

The angular velocity of the particle is given as:

$\omega=\frac{\theta}{t}$

$\omega=\frac{240 \pi}{600}$

$\omega=0.4\pi \text{rad/s}$

The angular velocity of the particle in the rigid body is $0.4\pi \mathrm{~}\text{rad/s}$.

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