An object is attached to the bottom of a ligh | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given: Maximum speed $v_{\max} = 15 ~cm/s$ and period $T = 628 ~ms = 0.628 ~s$. In simple harmonic motion,the maximum speed is given by $v_{\max}

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(C) Given: Maximum speed $v_{\max} = 15 ~cm/s$ and period $T = 628 ~ms = 0.628 ~s$. In simple harmonic motion,the maximum speed is given by $v_{\max} = A\omega$,where $A$ is the amplitude and $\omega$ is the angular frequency. We know that $\omega = \frac{2\pi}{T}$. Substituting the value of $\omega$ into the formula: $v_{\max} = A 	imes \frac{2\pi}{T}$. Rearranging for amplitude $A$: $A = \frac{v_{\max} 	imes T}{2\pi}$. Substituting the given values: $A = \frac{15 ~cm/s 	imes 0.628 ~s}{2 	imes 3.14}$. $A = \frac{15 	imes 0.628}{6.28} ~cm$. $A = \frac{15 	imes 0.628}{10 	imes 0.628} ~cm = 1.5 ~cm$.

An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is $15 ~cm/s$ and the period is $628 ~ms$. The amplitude of the motion in $cm$ is:

Similar Questions

An increase in equivalent conductance of a strong electrolyte with dilution is mainly due to

The glands present in the skin of frog are

When is growth possible?

If ${I_0}$ is the intensity of the principal maximum in the single slit diffraction pattern,then what will be its intensity when the slit width is doubled?

If the tangent at the point $P$ on the circle $x^2 + y^2 + 6x + 6y = 2$ meets the straight line $5x - 2y + 6 = 0$ at a point $Q$ on the $y$-axis,then the length of $PQ$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module