Question

Calculate the period of a ball tied to a string of length 0.504 m making 3.9 revolutions every second. Answer in units of s. Your answer must be within ± 2.0% 004 (part 2 of 2) 10.0 points Calculate the speed of the ball. Answer in units of m/s. Your answer must be within ± 2.0%

Answer 1

Answer:

12.35022 m/s

Explanation:

f = Frequency = 3.9 rev/s

r =  Length of string = 0.504 m

Time period is given by

$T=\dfrac{1}{f}\\\Rightarrow T=\dfrac{1}{3.9}\\\Rightarrow T=0.25641\ s$

The time period is 0.25641 s

The speed is given by

$Speed=\dfrac{Distance}{Time}$

$v=\dfrac{2\pi r}{T}\\\Rightarrow v=f(2\pi r) \\\Rightarrow v=3.9\times 2\pi\times 0.504\\\Rightarrow v=12.35022\ m/s$

The speed of the ball is 12.35022 m/s