Question

The angular velocity of a scooter wheel is 40 rad/s. If the diameter of the scooter wheel is 80 cm.Calculate the speed of the scooter in m/s

Answer 1

v=rw
40*40=v
v=1600 cm/s
v=16*100 cm/s
v=16 m/s

Answer 2

Given:

• The angular velocity of a scooter wheel = 40 rad/s
• The diameter of the scooter wheel = 80 cm

To Find:

• The speed of the scooter.

Solution:

The formula to find the speed of the scooter with the given values is given by,

V = W×r → {equation 1}

Where "V" is the speed of the scooter, "W" is the angular velocity, and "r" is the radius.

We know that,

radius = diameter/2 = 80/2 = 40 cm ( the value of diameter is given)

radius in terms of meters is given by, r = 0.4 m

Substitue the values of "W" and "r" in equation 1, we get,

⇒ V = 40×0.4 = 16 m/s

∴ The speed of the scooter = 16m/s.