**Centrifugal force **(F_{c}) is equal to **mass **(m) times the square of** velocity **(v^{2}) divided by the **radius **(r). Using the equation of centrifugal force: **F**_{c}** = [m ×** **v**^{2}**] ÷ r**, the value of centrifugal force acting on an object can be calculated.

Let’s solve some problems based on this equation, so you’ll get a clear idea.

## Centrifugal Force Practice Problems

**Problem 1:** What is the centrifugal force acting on a scooter of mass 80 kg moving in a circular path of radius 16 m with the velocity of 2 m/s?

Solution:

Given data:

Mass of a scooter, m = 80 kg

Radius of a circular path, r = 16 m

Velocity of a scooter, v = 2 m/s

Centrifugal force acting on a scooter, F_{c} = ?

Using the equation of centrifugal force,

F_{c} = [m × v^{2}] ÷ r

F_{c} = [80 × (2)^{2}] ÷ 16

F_{c} = 320 ÷ 16

F_{c} = 20 N

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

**Problem 2:** Calculate the centrifugal force acting on a 150 kg bike moving with the velocity of 1 km/h in a circular path of radius 5 m.

Solution:

Given data:

Centrifugal force acting on a bike, F_{c} = ?

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

Using the equation of centrifugal force,

F_{c} = [m × v^{2}] ÷ r

F_{c} = [150 × (0.27)^{2}] ÷ 5

F_{c} = 10.935 ÷ 5

F_{c} = 2.18 N

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

**Problem 3:** One girl of mass 24 kg is enjoying a carousel ride. A girl sitting on a carousel rotates in a circular path of radius 8 m with the velocity of 1 m/s. Calculate the centrifugal force acting on a girl.

Solution:

Given data:

Mass of a girl, m = 24 kg

Radius of a circular path, r = 8 m

Velocity of a girl, v = 1 m/s

Centrifugal force acting on a girl, F_{c} = ?

Using the equation of centrifugal force,

F_{c} = [m × v^{2}] ÷ r

F_{c} = [24 × (1)^{2}] ÷ 8

F_{c} = 24 ÷ 8

F_{c} = 3 N

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

**Problem 4:** A bus of mass 700 kg is moving in a circular path with the velocity of 0.8 km/h. If the radius of a circular path is 8 m, then what is the centrifugal force acting on a bus?

Solution:

Given data:

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

Centrifugal force acting on a bus, F_{c} = ?

Using the equation of centrifugal force,

F_{c} = [m × v^{2}] ÷ r

F_{c} = [700 × (0.22)^{2}] ÷ 8

F_{c} = 33.88 ÷ 8

F_{c} = 4.23 N

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

.

.

.

**Related:**

- Force Equation
- Normal Force Equation
- Net Force Formula
- Applied Force Formula
- Magnetic Force Equation
- Centripetal Force Equation
- Spring Force Equation
- Tension Force Formula
- Electric Force Equation

**Also Read:**