**Update:** This page’s content is moving to a new address in the upcoming months.

The **centripetal force equation**, given by F_{c} = (m × v^{2}) ÷ r, is used to calculate the force required to keep an object moving in a circular path. In this equation, F_{c} represents the centripetal force, m is the mass of the object, v denotes the velocity of the object, and r signifies the radius of the circular path.

## Practice problems

### Problem #1

Determine the centripetal force acting on a car of mass 1000 kg as it moves in a circular path with a velocity of 1.8 km/h. The radius of the circular path is 10 m.

**Solution**

Given data:

- Centripetal force acting on a car, F
_{c}= ? - Mass of a car, m = 1000 kg
- Velocity of a car, v = 1.8 km/h = 0.5 m/s
- Radius of a circular path, r = 10 m

Applying the formula:

- F
_{c}= (m × v^{2}) ÷ r - F
_{c}= [1000 × (0.5)^{2}] ÷ 10 - F
_{c}= 250 ÷ 10 - F
_{c}= 25 N

Therefore, the centripetal force acting on a car is **25 N**.

### Problem #2

Find the centripetal force acting on a boy of mass 30 kg who is enjoying a merry-go-round ride. The boy sits on a merry-go-round rotating in a circular path with a radius of 6 m and a velocity of 2 m/s.

**Solution**

Given data:

- Centripetal force acting on a boy, F
_{c}= ? - Mass of a boy, m = 30 kg
- Radius of a circular path, r = 6 m
- Velocity of a boy, v = 2 m/s

Applying the formula:

- F
_{c}= (m × v^{2}) ÷ r - F
_{c}= [30 × (2)^{2}] ÷ 6 - F
_{c}= 120 ÷ 6 - F
_{c}= 20 N

Therefore, the centripetal force acting on a boy is **20 N**.

### Problem #3

Calculate the centripetal force acting on a truck weighing 2500 kg, which moves with a velocity of 1.2 km/h in a circular path of radius 15 m.

**Solution**

Given data:

- Centripetal force acting on a truck, F
_{c}= ? - Mass of a truck, m = 2500 kg
- Velocity of a truck, v = 1.2 km/h = 0.33 m/s
- Radius of a circular path, r = 15 m

Applying the formula:

- F
_{c}= (m × v^{2}) ÷ r - F
_{c}= [2500 × (0.33)^{2}] ÷ 15 - F
_{c}= 272.25 ÷ 15 - F
_{c}= 18.15 N

Therefore, the centripetal force acting on a truck is **18.15 N**.

### Problem #4

Determine the centripetal force acting on a sports bike weighing 140 kg as it moves in a circular path with a radius of 25 m and a velocity of 2.5 km/h.

**Solution**

Given data:

- Centripetal force acting on a sports bike, F
_{c}= ? - Mass of a sports bike, m = 140 kg
- Radius of a circular path, r = 25 m
- Velocity of a sports bike, v = 2.5 km/h = 0.69 m/s

Applying the formula:

- F
_{c}= (m × v^{2}) ÷ r - F
_{c}= [140 × (0.69)^{2}] ÷ 25 - F
_{c}= 66.654 ÷ 25 - F
_{c}= 2.6 N

Therefore, the centripetal force acting on a sports bike is **2.6 N**.

## Related

- Force equation
- Normal force equation
- Net force formula
- Applied force formula
- Magnetic force equation
**Centripetal force equation**- Centrifugal force equation
- Spring force equation
- Tension force formula
- Electric force equation

## External links

- Centripetal Force Calculation – HyperPhysics Concepts
- 6.3 Centripetal Force – University Physics Volume 1 – OpenStax
- Centripetal Force Calculator – Omni Calculator
- Centripetal Force – Summary – The Physics Hypertextbook
- Centripetal Force – University of Notre Dame
- Centripetal force – Wikipedia
- Centripetal Force: Definition, Formula & Examples – Study.com
- 6.3: Centripetal Force – Physics LibreTexts
- 6.3 Centripetal Force – General Physics Using Calculus I – UCF Pressbooks
- Centripetal Force – CK-12
- The Centripetal Force Requirement – The Physics Classroom
- Centripetal Force and Velocity : Formula – Vaia
- AP Physics 1 : Centripetal Force and Acceleration – Varsity Tutors
- Centripetal and Centrifugal Acceleration Force – The Engineering ToolBox
- How to Find Centripetal Force – Sciencing
- What is a centripetal force? (article) – Khan Academy
- What Is Centripetal Force? Definition and Equations – ThoughtCo
- Centripetal Force: Definition, Examples, & Equation – Science Facts
- Centripetal Force Calculator – CalcTool
- Centripetal Force – Dummies
- Centripetal Force Formula – SoftSchools.com
- Centripetal Force Calculator – Calculator Academy

Deep

Learnool.com was founded by Deep Rana, who is a mechanical engineer by profession and a blogger by passion. He has a good conceptual knowledge on different educational topics and he provides the same on this website. He loves to learn something new everyday and believes that the best utilization of free time is developing a new skill.