What is centripetal force for a car of mass 1000kg being driven at a speed of 62.5kmh^1 on a circular track of radius 29m
To calculate the centripetal force for a car driving on a circular track, we can use the formula:
Fc = (m * v²) / r
Where:
Fc is the centripetal force
m is the mass of the car (1000 kg)
v is the velocity of the car (62.5 km/h)
r is the radius of the circular track (29 m)
To use this formula, we need to convert the velocity from km/h to m/s:
v (m/s) = (62.5 km/h) * (1000 m / 1 km) * (1 h / 3600 s)
v ≈ 17.4 m/s
Now we can substitute the values into the formula:
Fc = (1000 kg * (17.4 m/s)²) / 29 m
Fc = (1000 kg * 302.76 m²/s²) / 29 m
Fc ≈ 3293.1 N
Therefore, the centripetal force acting on the car is approximately 3293.1 Newtons.