Question

How much force is required to swing a 3 kg mass in a circle with a radius of 1.5 m at a speed of 5 m/s?

Answer 1

The force that is required to swing the mass is 50 Newton.

Given the following data:

• Mass = 3 kg

• Radius = 1.5 meters

• Speed = 5 m/s

To find the amount of force that is required to swing the mass, we would use centripetal force formula:

Mathematically, centripetal force is given by the formula:

$F_c = \frac{mv^2}{r}$

Where:

• m is the mass.

• v is the speed.

• r is the radius.

Substituting the parameters into the formula, we have;

$F_c = \frac{3 \times 5^2}{1.5}\\\\F_c = \frac{3 \times 25}{1.5}\\\\F_c = \frac{75}{1.5}\\\\F_c = 50$

Centripetal force = 50 Newton

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