A 0.22 kg ball is going in circles at a frequency of 25 Hz due to being attached to a 1.2 m long string. What is the tension in the string?*1 point3125.0 N6515.6 N6615.6 N6815.6 N
Question
A 0.22 kg ball is going in circles at a frequency of 25 Hz due to being attached to a 1.2 m long string. What is the tension in the string?*1 point3125.0 N6515.6 N6615.6 N6815.6 N
Solution
To solve this problem, we need to use the formula for the tension in a string, which is given by:
T = m * r * (2πf)^2
where:
- T is the tension,
- m is the mass of the ball,
- r is the radius of the circle (which is the length of the string in this case),
- f is the frequency, and
- π is a mathematical constant whose approximate value is 3.14159.
Given that m = 0.22 kg, r = 1.2 m, and f = 25 Hz, we can substitute these values into the formula to find the tension:
T = 0.22 kg * 1.2 m * (2 * 3.14159 * 25 Hz)^2
Calculating the above expression will give us the tension in the string.
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