Question

A body executing S.H.M. has equation

$y = 0.30\sin(220t + 0.64)$ in meter. Then the frequency and maximum velocity of the body is

• A. $35Hz,66m/s$
• B. $45Hz,66m/s$
• C. $58Hz,113m/s$
• D. $35Hz,132m/s$

Answer 1

Answer: (A)

$35Hz,66m/s$

Answer 2

By comparing with standard equation $y = a\sin(\omega t + \varphi)$ we get $a = 0.30;\omega = 220$

∴ $2\pi n = 220$⇒ $n = 35Hz$

so $v_{\max}$