a 250 g yoyo is swung on the end of a 50cm string at a constant speed of 4/ms. the centrpetal force acting on the yoyo
To calculate the centripetal force acting on the yoyo, we can use the formula:
Fc = (mv^2) / r
Where:
Fc = Centripetal force
m = Mass of the yoyo (in kg)
v = Velocity of the yoyo (in m/s)
r = Radius of the circular motion (in meters)
Given:
Mass of the yoyo (m) = 250 g = 0.25 kg
Velocity of the yoyo (v) = 4 m/s
Radius of the circular motion (r) = 50 cm = 0.5 m
Now, let's plug in the values into the formula to find the centripetal force:
Fc = (0.25 kg * (4 m/s)^2) / 0.5 m
Simplifying the equation:
Fc = (0.25 kg * 16 m^2/s^2) / 0.5 m
Fc = 4 kg m/s^2
Therefore, the centripetal force acting on the yoyo is 4 kg m/s^2.