The centripetal force can be found using the equation:
Centripetal force = mass * (velocity^2) / radius
First, we need to convert the mass to kilograms, so 400g = 0.4kg.
The radius is given as 2m.
The velocity can be calculated using the formula for the circumference of a circle:
Circumference = 2 * π * radius
The time for 1 revolution is 1/2s, since the body is whirled at a steady rate of 2rev/s.
Therefore, the velocity is:
Velocity = Circumference / Time
= 2 * π * radius / (1/2)
= 4 * π * radius
= 4 * 3.14 * 2
= 25.12m/s
Now we can calculate the centripetal force:
Centripetal force = 0.4kg * (25.12m/s)^2 / 2m
= 0.4kg * 630.2144m^2/s^2 / 2m
= 252.08576N
Therefore, the centripetal force is approximately 252N.
So, the answer is D. 252N.
A body of mass 400g is
whirled in a vertical of radius 2m
at a steady rate of 2rev/s. find its
centripetal force.
A. 160N
B. 102N
C. 320N
D. 252N
1 answer
1 answer