Question

A wheel makes one full revolution every 2 seconds and has a radius of 5m. Determine its angular velocity .

Answer 1

The angular velocity of the wheel is 3.14 rad/sec.

Given:

Time taken by the wheel to make one revolution is 2 secs.

radius, r = 5 m

To Find:

The angular velocity of the wheel.

Solution:

We are required to find the angular velocity of the wheel.

The angular velocity formula is given as

ω = 2π/T   ----------------(1)

• The time period is the time taken by an object to repeat itself in an interval.

It is given that time period, T = 2 seconds

Substitute the value of the time period in equation(1) we get

ω = 2π/2

ω = π radians/sec

ω = 3.14 rad/sec

Therefore, The angular velocity of the wheel is 3.14 rad/sec.

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Answer 2

Answer: The angular velocity of wheel will be 3.14 rad/sec,

Explaination:-

given, radius of a wheel is 5 mtr.

time taken in one revolution is 2 seconds.

The angular velocity given as

ω=2$\pit$$\pi$t

ω= $\pi$ radiance/second

ω= 3.14 rad/sec

Angular velocity = a time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.

Velocity: Velocity describes the direction in which a body or an item is moving. From its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

radiance/sec :- The Standard International (SI) unit of angular (rotational) speed is the radian per second (symbolised rad/s or rad/sec). There are two ways to describe this quantity: as average or as immediate.

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