A steel ball with a mass of 0.65 kg is swinging in a circle with a radius of 1.3 meters at a speed of 17m/s. What is the centripetal force?
force=mass*v^2/r
To calculate the centripetal force, you can use the formula:
F = m * v² / r
Where:
- F represents the centripetal force
- m is the mass of the object (in this case, the steel ball)
- v is the velocity of the object
- r is the radius of the circle
Now, let's substitute the given values into the formula:
m = 0.65 kg
v = 17 m/s
r = 1.3 m
Plugging these values into the formula:
F = (0.65 kg) * (17 m/s)² / 1.3 m
First, square the velocity:
F = (0.65 kg) * (289 m²/s²) / 1.3 m
Next, multiply the mass and the squared velocity:
F = (0.65 kg) * (289 m²/s²) / 1.3 m
F = 18.85 kg·m/s²
Therefore, the centripetal force acting on the steel ball is approximately 18.85 N.