Chapter 15: Q. 4 (page 415)

An object in SHM oscillates with a period of $4.0 s$ and an amplitude of $10 c m$ . How long does the object take to move from $x = 0.0 c m$ to $x = 6.0 c m$ ?

Short Answer

Expert verified

To move from $x = 0.0 c m$ to $x = 6.0 c m$ , the total time taken is $0.4 s$ .

Step by step solution

Given Information

Time period, $T = 4 s$ .

The amplitude, $A = 10 c m$ .

:Formula used

Equation of the simple harmonic motion is $x = A \sin ω t$ .

Where, at time $t$ , $x$ is the position, $A$ is the amplitude and $ω$ is the angular frequency.

Calculation

Substitute the values to obtain $t$ .

6 = 10 \sin [\frac{2 π}{T} \times t] \frac{6}{10} = \sin [\frac{2 π}{4} \times t] \sin^{- 1} (0.6) = \frac{π}{2} \times t t = 0.4 s

Final Answer

To move from $x = 0.0 c m$ to $x = 6.0 c m$ , the total time taken is $0.4 s$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

An object in SHM oscillates with a period of $4.0 s$ and an amplitude of $10 c m$ . How long does the object take to move from $x = 0.0 c m$ to $x = 6.0 c m$ ?

Short Answer

Step by step solution

Given Information

:Formula used

Calculation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Circular Motion and Gravitation

Geometrical and Physical Optics

Thermodynamics

Scientific Method Physics

Magnetism

Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.

An object in SHM oscillates with a period of 4.0sand an amplitude of 10cm. How long does the object take to move from x=0.0cm to x=6.0cm?

Short Answer

Step by step solution

Given Information

:Formula used

Calculation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Circular Motion and Gravitation

Geometrical and Physical Optics

Thermodynamics

Scientific Method Physics

Magnetism

Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.

An object in SHM oscillates with a period of $4.0 s$ and an amplitude of $10 c m$ . How long does the object take to move from $x = 0.0 c m$ to $x = 6.0 c m$ ?