Question

A car's tires have an angular velocity of 100 rad/s and a radius of 0.4 meters. What is the car's linear velocity as it moves forward?

Answer 1

The car's linear velocity is 40 m/s.

Step-by-step explanation:

Velocity is a vector quantity that describes the rate of change of an object's position concerning time. It includes both the object's speed and its direction of motion.

The car's linear velocity can be calculated using the formula:

linear velocity (v) = angular velocity (w) * radius (r)

Given that the angular velocity is 100 rad/s and the radius is 0.4 meters, we can substitute these values into the formula:

v = 100 rad/s * 0.4 m = 40 m/s

Therefore, the car's linear velocity as it moves forward is 40 m/s.

Velocity is often expressed in units such as meters per second (m/s) or miles per hour (mph), depending on the system of measurement being used. Unlike speed, which only describes how fast something is moving, velocity includes the direction as well.