No, a motorcycle traveling at a constant speed of 72 km/h around a circular path of radius 150 m is not possible. This is because the motorcycle would need to undergo acceleration to maintain a curved path, even if the speed remains constant.
When an object moves in a circular path, it experiences centripetal acceleration directed toward the center of the circle. The magnitude of centripetal acceleration can be calculated using the equation:
a = v^2 / r
Where: a is the centripetal acceleration, v is the velocity of the motorcycle, and r is the radius of the circular path.
In this case, the motorcycle is traveling at a constant speed of 72 km/h, which can be converted to meters per second (m/s) as follows:
72 km/h * (1000 m / 1 km) * (1 h / 3600 s) ≈ 20 m/s
Using the given radius of 150 m, we can calculate the centripetal acceleration:
a = (20 m/s)^2 / 150 m ≈ 2.67 m/s²
Therefore, the motorcycle traveling at a constant speed of 72 km/h around a circular path of radius 150 m would experience a centripetal acceleration of approximately 2.67 m/s².