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MechanicsCentripetal Force Calculator
Centripetal Force (F) = mv²/r
Practical Examples:
Example 1: Car on a Circular Track
A car with a mass of 1,500 kg is moving at a velocity of 20 m/s around a circular track with a radius of 50 meters. Calculate the centripetal force acting on the car.
Solution: F = mv²/r = 1,500 kg × (20 m/s)² / 50 m = 12,000 N
Example 2: Satellite Orbiting Earth
A satellite with a mass of 1,000 kg is orbiting Earth at a velocity of 7,800 m/s in a circular orbit with a radius of 6,700 km. Calculate the centripetal force acting on the satellite.
Solution: F = mv²/r = 1,000 kg × (7,800 m/s)² / 6,700,000 m = 9,060 N
Example 3: Car on a Circular Track
A car with a mass of 1,200 kg is moving at a speed of 20 m/s around a circular track with a radius of 50 meters. Calculate the centripetal force acting on the car.
Solution: Fc = mv²/r = (1,200 kg) × (20 m/s)² / 50 m = 9,600 N
Example 4: Satellite Orbiting Earth
A satellite with a mass of 2,000 kg is orbiting the Earth at a speed of 7,800 m/s. The radius of its orbit is 6,700,000 meters. Calculate the centripetal force acting on the satellite.
Solution: Fc = mv²/r = (2,000 kg) × (7,800 m/s)² / 6,700,000 m = 18,120 N
Example 5: Electron in a Magnetic Field
An electron (with a mass of 9.11 × 10-31 kg) is moving at a speed of 2 × 106 m/s in a circular path with a radius of 5 × 10-11 meters in a magnetic field. Calculate the centripetal force acting on the electron.
Solution: Fc = mv²/r = (9.11 × 10-31 kg) × (2 × 106 m/s)² / 5 × 10-11 m = 7.28 × 10-14 N
