From the information given,
radius = 6
frequency = 50
a) Period, T is the reciprocal of frequency. This means that
T = 1/frequency
Thus,
T = 1/50 = 0.02
Period = 0.02 s
b) The formula for calculating velocity for an object in circular motion, V is expressed as
V = 2pi x radius/T
By substituting pi = 3.14, radius = 6 and T = 0.02 into the formula,
V = 2 x 3.14 x 6/0.02
V = 1884
Velocity is 1884 rad/s
c) The formula for calculating centripetal acceleration is expressed as
A = V^2/radius
Substituting V = 1884 and radius = 6 into the formula,
A = 1884^2/6 = 591576
Acceleration = 591576 rad/s^2