HELP! A tennis ball is attached to a .8m long string whirled around in a circle with a constant frequency of 1.2 Hz. What is the linear(tangential) velocity of the tennis ball?
radius = 0.8 m.
C = pi*D = 3.14*(2*0.8) = 5.02 m. = Circumference.
1.2 Hz = 1.2cycles/s.
V = 1.2cy/s * 5.02m/cy. = 6.03 m/s.
To find the linear velocity of the tennis ball, we need to use the formula:
Linear velocity = 2 * π * radius * frequency
In this case, the radius is the length of the string, which is 0.8 meters, and the frequency is 1.2 Hz. So, we can substitute these values into the formula:
Linear velocity = 2 * π * 0.8 * 1.2
Linear velocity = 1.6 * π * 1.2
Linear velocity ≈ 6.04 m/s
Therefore, the linear velocity of the tennis ball is approximately 6.04 m/s.