The angular velocity (in rad/s) of a body rotating at N r.p.m. is

Question

Verified by Toppr

Answer 1

Angular velocity is defined as the rate of change of angular displacement with respect to time. It is usually expressed by a Greek letter (omega).

Mathematically, angular velocity is $ω = d θ / d t$
If a body is rotating at the rate of N r.p.m. (revolutions per minute), then its angular velocity,

$ω = \frac{2 π N}{6 0}$ rad/s

Answer 2

Angular velocity is defined as the rate of change of angular displacement with respect to time. It is usually expressed by a Greek letter (omega).

Mathematically, angular velocity is

ω = d θ / d t

If a body is rotating at the rate of N r.p.m. (revolutions per minute), then its angular velocity,

ω = \frac{2 π N}{6 0}

rad/s

The angular velocity (in rad/s) of a body rotating at N r.p.m. is

$π N / 60$

$2 π N / 60$

$π N / 120$

$π N / 180$

If the body covers a circular path with constant angular speed $4 π$ rad/sec. Then frequency of the body is

(1) : When a rigid body is rotating about its own axis, all particles of that body have the same angular velocity.
(2) : All particles of the body have the same time period.

A fly-wheel is rotating about its own axis at an angular velocity $11 r a d / s$ . Its angular velocity in revolution per minute ( $r p m$ ) is:

A flywheel rotates with a uniform angular acceleration. Its angular velocity increases from $20 π$ $r a d / s e c$ in $10$ seconds. How many rotation did it make the that period:

A body rotates at 300 rotations per minute.The value in radian of the angle described in 1 sec is:

Revise with Concepts

Angular Velocity and its Relation With Linear Velocity

The angular velocity (in rad/s) of a body rotating at N r.p.m. is

πN/60

2πN/60

πN/120

πN/180

If the body covers a circular path with constant angular speed 4π rad/sec. Then frequency of the body is

(1) : When a rigid body is rotating about its own axis, all particles of that body have the same angular velocity. (2) : All particles of the body have the same time period.

A fly-wheel is rotating about its own axis at an angular velocity 11 rad/s. Its angular velocity in revolution per minute (rpm) is:

A flywheel rotates with a uniform angular acceleration. Its angular velocity increases from 20π rad/sec in 10 seconds. How many rotation did it make the that period:

A body rotates at 300 rotations per minute.The value in radian of the angle described in 1 sec is:

Revise with Concepts

Angular Velocity and its Relation With Linear Velocity

$π N / 60$

$2 π N / 60$

$π N / 120$

$π N / 180$

If the body covers a circular path with constant angular speed $4 π$ rad/sec. Then frequency of the body is

(1) : When a rigid body is rotating about its own axis, all particles of that body have the same angular velocity.
(2) : All particles of the body have the same time period.

A fly-wheel is rotating about its own axis at an angular velocity $11 r a d / s$ . Its angular velocity in revolution per minute ( $r p m$ ) is:

A flywheel rotates with a uniform angular acceleration. Its angular velocity increases from $20 π$ $r a d / s e c$ in $10$ seconds. How many rotation did it make the that period: