An object moves with a constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of the object?

a = v^2 / r = (30 m/s)^2 / 150 m = ? m/s^2

To find the acceleration of the object, we need to understand the concept of acceleration in circular motion. In circular motion, there are two types of acceleration: the radial acceleration (also known as centripetal acceleration) and the tangential acceleration.

The radial acceleration is responsible for changing the direction of motion and is always directed towards the center of the circle. It is given by the formula:

ar = v^2 / r

Where:
ar = radial acceleration
v = velocity of the object
r = radius of the circular track

In this case, the object is moving with a constant speed of 30 m/s on a circular track with a radius of 150 m. Therefore, we can calculate the radial acceleration as follows:

ar = (30^2) / 150
ar = 900 / 150
ar = 6 m/s^2

So, the radial acceleration of the object is 6 m/s^2.

Note: Since the object is moving at a constant speed, the tangential acceleration is zero.