The motion of a particle executing SHM is given by x=0.01sin 100 π (. t + 0.05 .) , where x is in metre and time t is in second. The time period is

Question

The motion of a particle executing SHM is given by x=0.01sin 100 π (. t + 0.05 .) , where x is in metre and time t is in second. The time period is (A) 0.2s (B) 0.1 s (C) 0.02 s (D) 0.01 s

Tardigrade Admin · Accepted Answer

x=0.01sin 100 π (t + 0.05) =0.01sin (. 100 π t + 5 π .) ∴ Angular frequency ω =100π =(2 π /T) or T=(2/100)=0.02 s

Q. The motion of a particle executing SHM is given by $x = 0.01 s in 100 π (t + 0.05)$ , where $x$ is in metre and time $t$ is in second. The time period is

$0.2 s$

$0.1 s$

$0.02 s$

$0.01 s$

$x = 0.01 s in 100 π (t + 0.05)$
$= 0.01 s in (100 π t + 5 π)$
$∴$ Angular frequency $ω = 100 π = \frac{2 π}{T}$
or $T = \frac{2}{100} = 0.02$ s

Q. The motion of a particle executing SHM is given by x=0.01sin100π(t+0.05) , where x is in metre and time t is in second. The time period is

0.2s

0.1s

0.02s

0.01s