A car goes round a flat circular bend whose radius is 100metres at constant speed at 30 metres per second. Calculate its acceleration?
If the mass of the car is 1500kg.calculate the frictional force required to provide the acceleration
Ac = v^2/R = 30 * 30 / 100 = 3*3 = 9 m/s^2
F = m A = 1500 * 9 Newtons
To calculate the acceleration of the car going around the circular bend, you can use the formula:
Acceleration = V^2 / R
where V is the velocity of the car and R is the radius of the circular bend. In this case, the velocity of the car is given as 30 meters per second and the radius of the bend is given as 100 meters.
Plug the given values into the formula:
Acceleration = (30^2) / 100
Acceleration = 900 / 100
Acceleration = 9 meters per second squared
So the acceleration of the car is 9 m/s^2.
Next, to calculate the frictional force required to provide this acceleration, you can use Newton's second law of motion:
Force = mass x acceleration
In this case, the mass of the car is given as 1500 kg and the acceleration is 9 m/s^2.
Plug the given values into the formula:
Force = 1500 kg x 9 m/s^2
Force = 13,500 Newtons (N)
Therefore, the frictional force required to provide the acceleration is 13,500 Newtons (N).