Question

The wheel of a car is spinning with a period of 0.138 s. If the wheel has a radius of 0.343 m, what is the velocity of a point on the edge of the wheel?

Answer 1

To find the velocity of a point on the edge of a spinning wheel, calculate the angular velocity using the wheel's period, then multiply by the wheel's radius. The velocity is approximately 15.6 m/s.

Step-by-step explanation:

To calculate the velocity of a point on the edge of the wheel, we need to determine the linear velocity given the wheel's radius and its period of rotation. First, let's calculate the angular velocity, ω, using the formula ω = 2π / T, where T is the period.

ω = 2π / 0.138 s = 45.5 rad/s (approximately).

Now, the velocity of a point on the rim, V, is given by V = ωr, where r is the radius of the wheel.

V = 45.5 rad/s × 0.343 m = 15.6 m/s (approximately).

Therefore, the velocity of a point on the edge of the wheel is approximately 15.6 m/s.