# Centrifugal force equation

The centrifugal force equation, Fc = (m × v2) ÷ r, calculates the outward force experienced by an object moving in a curved path. In this equation, Fc represents the centrifugal force, m is the mass of the object, v denotes the velocity of the object, and r signifies the radius of the curved path.

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## Practice problems

### Problem #1

Determine the centrifugal force acting on a scooter weighing 80 kg as it moves in a circular path with a radius of 16 m and a velocity of 2 m/s.

Solution

Given data:

• Centrifugal force acting on a scooter, Fc = ?
• Mass of a scooter, m = 80 kg
• Radius of a circular path, r = 16 m
• Velocity of a scooter, v = 2 m/s

Applying the formula:

• Fc = (m × v2) ÷ r
• Fc = [80 × (2)2] ÷ 16
• Fc = 320 ÷ 16
• Fc = 20 N

Therefore, the centrifugal force acting on a scooter is 20 N.

### Problem #2

Calculate the centrifugal force acting on a bike weighing 150 kg, which moves with a velocity of 1 km/h in a circular path of radius 5 m.

Solution

Given data:

• Centrifugal force acting on a bike, Fc = ?
• Mass of a bike, m = 150 kg
• Velocity of a bike, v = 1 km/h = 0.27 m/s
• Radius of a circular path, r = 5 m

Applying the formula:

• Fc = (m × v2) ÷ r
• Fc = [150 × (0.27)2] ÷ 5
• Fc = 10.935 ÷ 5
• Fc = 2.18 N

Therefore, the centrifugal force acting on a bike is 2.18 N.

### Problem #3

Find the centrifugal force acting on a girl weighing 24 kg who is enjoying a carousel ride. The girl sits on a carousel rotating in a circular path with a radius of 8 m and a velocity of 1 m/s.

Solution

Given data:

• Centrifugal force acting on a girl, Fc = ?
• Mass of a girl, m = 24 kg
• Radius of a circular path, r = 8 m
• Velocity of a girl, v = 1 m/s

Applying the formula:

• Fc = (m × v2) ÷ r
• Fc = [24 × (1)2] ÷ 8
• Fc = 24 ÷ 8
• Fc = 3 N

Therefore, the centrifugal force acting on a girl is 3 N.

### Problem #4

Determine the centrifugal force acting on a bus weighing 700 kg as it moves in a circular path with a velocity of 0.8 km/h. The radius of the circular path is 8 m.

Solution

Given data:

• Centrifugal force acting on a bus, Fc = ?
• Mass of a bus, m = 700 kg
• Velocity of a bus, v = 0.8 km/h = 0.22 m/s
• Radius of a circular path, r = 8 m

Applying the formula:

• Fc = (m × v2) ÷ r
• Fc = [700 × (0.22)2] ÷ 8
• Fc = 33.88 ÷ 8
• Fc = 4.23 N

Therefore, the centrifugal force acting on a bus is 4.23 N.