Answer:
(a) 0.208 Hz
(b) 5.725 m
Explanation:
Tarzan completes 30 swings in 2.4 minutes
t = 2.4 minutes = 2.4 x 60 seconds = 144 s
Time period is defined as the time taken to complete one swing.
T = 144 / 30 = 4.8 s
(a) Frequency is defined as the reciprocal of time period. It is defined as the number of swings completed in one second.
[tex]f = \frac{1}{T}=\frac{1}{4.8}[/tex]
f = 0.208 Hz
(b) Let the length of vine is L
The formula for the time period is given by
[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]
[tex]4.8 = 2\times 3.14\sqrt{\frac{L}{9.8}}[/tex]
L = 5.725 m
