Angular Velocity to Lineae Velocity Calculator, Formula, AV to L Calculation

Angular Velocity to Lineae Velocity Caculator:

Enter the values of angular velocity V_A(rad/s) and radius, R_(m) to determine the value of linear velocity V_L(m/s).

Angular Velocity to Lineae Velocity Formula:

Linear velocity is the rate at which an object moves along a path in a linear direction. When an object rotates, its linear velocity at any point on the periphery can be determined by its angular velocity and the radius of rotation.

The linear velocity V_L(m/s) in metres per seconds is calculated by multiplying the angular velocity V_A(rad/s) in radians per seconds by the radius, R_(m) in metres.

Linear velocity V_L(m/s) = V_A(rad/s) * R_(m)

V_L(m/s) = linear velocity in metres per seconds, m/s.

V_A(rad/s) = angular velocity in radians per seconds, rad/s.

R_(m) = radius in metres, m.

Angular Velocity to Lineae Velocity Calculation:

1. A bicycle wheel has a radius of 0.3 metres. If the wheel rotates at an angular velocity of 4 radians per second, what is the linear velocity of a point on the rim?

Given: V_A(rad/s) = 4rad/s, R_(m) = 0.3m.

Linear velocity V_L(m/s) = V_A(rad/s) * R_(m)

V_L(m/s) = 4 * 0.3

V_L(m/s) = 1.2m/s.

2. Suppose a wheel is spinning with an angular velocity of 5 radians per second and a point on the rim of the wheel has a linear velocity of 10 metres per second. Calculate the radius of the wheel.

Given: V_A(rad/s) = 5rad/s, V_L(m/s) = 10m/s.

Linear velocity V_L(m/s) = V_A(rad/s) * R_(m)

R_(m) = V_L(m/s) / V_A(rad/s)

R_(m) = 10 / 5

R_(m) = 2m.

Relation Between Linear Velocity and Angular Velocity