To find the centripetal acceleration of a motorcycle traveling at a constant speed around a circular track, we can use the following formula:
Centripetal acceleration (a) = (v²) / r
Where: v = velocity of the motorcycle r = radius of the circular track
First, we need to convert the speed from km/h to m/s since the radius is given in meters. We know that 1 km/h is equal to 1,000 m/3,600 s (or 5/18 m/s). Therefore:
Speed (v) = 72 km/h = (72 * 5/18) m/s = 20 m/s
Now, we can substitute the values into the formula:
a = (v²) / r = (20²) / 150
Simplifying further:
a = 400 / 150 = 2.67 m/s²
Therefore, the centripetal acceleration of the motorcycle is approximately 2.67 m/s².