The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in metres, L, through the equation T=2π√ L/9.8
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To determine the time it takes for a pendulum to make one complete swing based on its length, we can use the equation T = 2π√(L/9.8), where T represents the time in seconds and L represents the length of the pendulum in meters.
To calculate the time for a specific pendulum length, follow these steps:
1. Determine the length of the pendulum in meters, which is represented by the value of L.
2. Divide the length value by the acceleration due to gravity, 9.8 m/s².
3. Take the square root of the result obtained in step 2.
4. Multiply the square root by 2π (approximately 6.28).
5. The final value obtained represents the time taken for the pendulum to complete one swing, in seconds.
For example, let's find the time it takes for a pendulum with a length of 1.5 meters to complete one swing:
1. L = 1.5 meters.
2. L/9.8 = 1.5/9.8 ≈ 0.1531.
3. √(0.1531) ≈ 0.3919.
4. 0.3919 * 6.28 ≈ 2.454.
5. The time it takes for the pendulum to complete one swing is approximately 2.454 seconds.
Remember to use the correct units (meters) for length and (seconds) for time to ensure accurate calculations.