How Do You Calculate the Time Period of SHM for a Liquid in a U-Shaped Tube?

In summary, the time period of a simple harmonic motion can be calculated using the formula T = 2π√(m/k). Frequency is the number of oscillations per unit time and time period is the time it takes for one complete oscillation, with frequency and time period being inversely related. The time period can change if the mass or spring constant is altered, or by external factors such as friction or air resistance. The amplitude, or maximum displacement, does not affect the time period. The time period is always a positive value and cannot be negative.
  • #1
cyb3r
1
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Homework Statement


We have U-shaped tube filled with liquid , if liquid is displaced through length 'x' find
time period of SHM

please help me :confused:
 
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  • #2
The restoring force is the weight of the column of fluid sticking out above the fluid in the other leg.
 

Related to How Do You Calculate the Time Period of SHM for a Liquid in a U-Shaped Tube?

1. How do you calculate the time period of a simple harmonic motion?

The time period of a simple harmonic motion can be calculated using the formula T = 2π√(m/k), where T is the time period, m is the mass of the object, and k is the spring constant.

2. What is the difference between frequency and time period in a simple harmonic motion?

Frequency is the number of oscillations per unit time, while time period is the time it takes for one complete oscillation. They are inversely related, meaning that as frequency increases, the time period decreases.

3. Can the time period of a simple harmonic motion change?

Yes, the time period of a simple harmonic motion can change if the mass of the object or the spring constant is altered. It can also be affected by external factors such as friction or air resistance.

4. How does amplitude affect the time period of a simple harmonic motion?

The amplitude, or maximum displacement, does not affect the time period of a simple harmonic motion. It only affects the maximum speed and acceleration of the object.

5. Can the time period of a simple harmonic motion be negative?

No, the time period of a simple harmonic motion cannot be negative. It is always a positive value, representing the time it takes for the motion to complete one full cycle.

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