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

Oxalic acid reacts with concentrated $H_2SO_4$ to give a mixture of two gases. When this mixture is passed through caustic potash,one of the gases is absorbed. What is the product formed by the absorbed gas with caustic potash?

The following compound is used as:

Which of the following is responsible for the production of biogas?

In the following circuit,find $I_1$ and $I_2$.

What is formed when $PCl_3$ reacts with water?

Vedclass Test Series

Exam Paper Generator

Online Exam Module