Three simple pendulums P, Q and R are set up in the same laboratory (identical local…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Three simple pendulums P, Q and R are set up in the same laboratory (identical local value of

g

). (i) Pendulum P has length

0.90\,\text{m}

and time period

T_P

. Pendulum Q has a time period

20\%

greater than P. Calculate the length of Q. (ii) Pendulum R oscillates with a frequency

1.5

times that of Q. Determine the length of R. (iii) Hence obtain the ratios

L_P : L_Q : L_R

and

T_P : T_Q : T_R

, expressing each ratio in its simplest integer form.