Why the time is the quarter of a period?

In summary, the conversation discussed the oscillation of a brick with mass 3 kg that is hung in a spring, and how lengthening the spring affects the time it takes for the brick to return to equilibrium. The solution states that the time it takes for the brick to return to equilibrium is one-fourth of the period, but it may be easier to understand by considering the positions of the oscillations.
  • #1
zade70
61
0

Homework Statement


When the brick with mass 3 kg is hanged in a spring, it is lengthened 25 cm. If we lengthen the spring with 15 cm more and leave it free how may times does the brick take to come back to the equilibrium position

Homework Equations


In the solution it says t=T/4

The Attempt at a Solution


I understand d the other part, but why is t=T/4 (t-time, T-period)
 
Physics news on Phys.org
  • #2
zade70 said:

Homework Statement


When the brick with mass 3 kg is hanged in a spring, it is lengthened 25 cm. If we lengthen the spring with 15 cm more and leave it free how may times does the brick take to come back to the equilibrium position

Homework Equations


In the solution it says t=T/4

The Attempt at a Solution


I understand d the other part, but why is t=T/4 (t-time, T-period)
Consider three positions, the lowest position of the oscillations (i.e. the release position), the equilibrium position, and the highest oscillation position. If it takes time t to rise from lowest to equilibrium, how long will it take to return to the lowest position?
 
  • Like
Likes zade70
  • #3
This diagram might help?
2uppnya.gif
 
  • Like
Likes zade70

FAQ: Why the time is the quarter of a period?

Why is time measured in quarters of a period?

Time is often measured in quarters of a period because it allows for a more precise measurement of time. It also aligns with the natural cycles and rhythms of the universe, such as the Earth's rotation around the sun and the moon's phases.

What is a period in relation to time?

A period is a unit of time that represents a specific duration or cycle. It can refer to any repeated event or activity, such as the Earth's rotation or a person's sleep-wake cycle. In terms of physics, a period is the time it takes for a wave or oscillation to complete one full cycle.

How is time divided into quarters?

Time is divided into quarters by splitting it into four equal parts. This can be done by dividing the total time into 4 equal sections, such as 15 minutes each, or by using a clock or watch with four quarters marked on it.

Is there a scientific reason for measuring time in quarters?

Yes, there are several scientific reasons for measuring time in quarters. It allows for more precise and consistent measurements, aligns with natural cycles and rhythms, and makes it easier to compare and synchronize time across different systems and devices.

What are the benefits of measuring time in quarters?

Measuring time in quarters allows for more accurate and precise measurements, which is important in many scientific and technological applications. It also helps to keep track of time and coordinate activities with others, as most people are familiar with the concept of quarters in relation to time.

Similar threads

Back
Top