Question

The “Giant Swing” at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 6.29 m long, the upper end of the cable being fastened to the arm at a point 4.34 m from the central shaft. Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 26.6 degrees with the vertical.

Give your answer in seconds to the second decimal place.

Answer 1

\[\tan 26.6 =\frac{ \frac{ mV ^{2} }{ r } }{ mg } =\frac{ V ^{2} }{ rg }\]
\[r=4.34 + 6.29\sin 26.6\]
find V, V/r = omega, find period