The-period-of-a-simple-pendulum-A-is-6-secs-Find-the-period-of-a-simple-pendulum-B-if-A-makes-30-oscillation-in-the-time-it-takes-B-to-make-70-oscillation-

Question Number 23823 by tawa tawa last updated on 06/Nov/17

$$\mathrm{The}\:\mathrm{period}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{pendulum}\:\mathrm{A}\:\mathrm{is}\:\mathrm{6}\:\mathrm{secs}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{period}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple} \\ $$$$\mathrm{pendulum}\:\mathrm{B},\:\mathrm{if}\:\mathrm{A}\:\mathrm{makes}\:\mathrm{30}\:\mathrm{oscillation}\:\mathrm{in}\:\mathrm{the}\:\mathrm{time}\:\mathrm{it}\:\mathrm{takes}\:\mathrm{B}\:\mathrm{to}\:\mathrm{make}\:\mathrm{70} \\ $$$$\mathrm{oscillation}. \\ $$

Answered by mrW1 last updated on 07/Nov/17

$$\mathrm{30}{T}_{{A}} =\mathrm{70}{T}_{{B}} \\ $$$$\Rightarrow{T}_{{B}} =\frac{\mathrm{30}}{\mathrm{70}}×\mathrm{6}=\frac{\mathrm{18}}{\mathrm{7}}\approx\mathrm{2}.\mathrm{6}\:{sec} \\ $$

Commented by tawa tawa last updated on 07/Nov/17

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\: \\ $$

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