In a laboratory experiment

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

In a laboratory experiment, a trolley is made to travel at a constant speed along circular tracks of different radii. The time period

T

for one revolution is measured for each radius

r

. (i) Show that a plot of

T

versus

r

is a straight line when the speed is kept constant. (ii) If the observed slope of the straight line is

0.24\,\text{s\,m}^{-1}

, determine the speed of the trolley. (iii) Using the same slope, predict the time period when the trolley moves on a track of radius

2.5\,\text{m}