Chapter 1: Q5 E (page 1)

A machine part is undergoing SHM with a frequency of $4.00 H z$ and amplitude $1.80 c m$ . How long does it take the part to go from $x = 0$ to $x = - 1.80 c m$ ?

Short Answer

Expert verified

The machine part takes $62.5 m s$ to go from $x = 0$ to $x = - 1.80 c m$ .

Step by step solution

Step 1: Definition of amplitude and frequency

The amplitude of motion can be defined as the maximum displacement that an object travels from the equilibrium position.

The frequency is defined as the number of oscillations done by an object per second.

Step 2: Calculate the time period.

Consider the given data as below.

The frequency, $f = 4.00 H z$

The relation between time period and frequency is given by,

$T = \frac{1}{f}$

Here, $T$ is the time period and $f$ is the frequency.

Substitute the value of frequency to get the value of time period

$T = \frac{1}{4.00 H z} = 0.25 s$

Step 3: Calculate the time taken by the part to travel from x=0 to x=-1.80 cm

Consider the amplitude of motion is $A$ . So, from $+ A$ to $- A$ and back to $+ A$ , or from $0$ to +A , back through 0 to $- A$ and back to $0$ form a complete vibration or cycle as shown in figure below.

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A machine part is undergoing SHM with a frequency of $4.00 H z$ and amplitude $1.80 c m$ . How long does it take the part to go from $x = 0$ to $x = - 1.80 c m$ ?

Short Answer

Step by step solution

Step 1: Definition of amplitude and frequency

Step 2: Calculate the time period.

Step 3: Calculate the time taken by the part to travel from x=0 to x=-1.80 cm

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A machine part is undergoing SHM with a frequency of 4.00Hzand amplitude 1.80cm. How long does it take the part to go from x=0to x=-1.80cm?

Short Answer

Step by step solution

Step 1: Definition of amplitude and frequency

Step 2: Calculate the time period.

Step 3: Calculate the time taken by the part to travel from x=0 to x=-1.80 cm

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Fluids

Further Mechanics and Thermal Physics

Linear Momentum

Radiation

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

A machine part is undergoing SHM with a frequency of $4.00 H z$ and amplitude $1.80 c m$ . How long does it take the part to go from $x = 0$ to $x = - 1.80 c m$ ?