Question

Two balls at the ends of two strings are moving at the same speed in the horizontal circular paths. One string is three times as long as the other. Compare the magnitudes pf the two centripetal acceleration.

Answer 1

$a_1=v^2_1/r_1$

$a_2=v_2^2/r_2$

$r_1=3r_2\ \ and\ \ v_1=v_2$

$a_2/a_1=r_1/r_2=3r_2/r_2=3\to a_2=3a_1$ . Answer