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Length of the rope, speed at which the pendulum is moving, friction between the rope and the air, the rope and its suspension point, and within the rope itself.

Q: What variables might affect the number of cycles the pendulum makes in 15 seconds?

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no. it affects the period of the cycles.

The period of the pendulum can be influenced by the local magnitude of gravity, by the length of the string, and by the density of the material in the swinging rod (which influences the effective length).It's not affected by the weight of the bob, or by how far you pull it to the side before you let it go.

assume the cycle starts when the pendulum is at the top left. It will go to the bottom, to the top right, to the bottom and then back to the top left. The time it takes it to do this is the period. 60 seconds in a minute and 60 divide by 15 is 4. Therefore you will have 4 cycles.

That depends on the period of the clock's pendulum. If we assume it's one second, then it does 1800 cycles in half an hour.

Hz = cycles/second. Therefore, at 2Hz, you're generating two complete cycles (or what I believe you refer to as waves) every second. So 2 cycles x 60 seconds = 120 cycles per minute. 120 cycles x 5 minutes = 600 cycles.

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The length of the pendulum, the angular displacement of the pendulum and the force of gravity. The displacement can have a significant effect if it is not through a small angle.

no. it affects the period of the cycles.

The period of the pendulum can be influenced by the local magnitude of gravity, by the length of the string, and by the density of the material in the swinging rod (which influences the effective length).It's not affected by the weight of the bob, or by how far you pull it to the side before you let it go.

With more mass in a pendulum, the period of the pendulum (time taken for one complete cycle) remains the same as long as the length of the pendulum remains constant. However, a heavier mass will result in a slower swing due to increased inertia, which can affect the amplitude and frequency of the pendulum's motion.

No, the force of gravity does not affect the period of a pendulum. The period of a pendulum is determined by the length of the pendulum and the acceleration due to gravity. Changing the force of gravity would not change the period as long as the length of the pendulum remains constant.

3 cycles / 12 seconds = 0.25 cycles / second, or 0.25 Hz.3 cycles / 12 seconds = 0.25 cycles / second, or 0.25 Hz.3 cycles / 12 seconds = 0.25 cycles / second, or 0.25 Hz.3 cycles / 12 seconds = 0.25 cycles / second, or 0.25 Hz.

assume the cycle starts when the pendulum is at the top left. It will go to the bottom, to the top right, to the bottom and then back to the top left. The time it takes it to do this is the period. 60 seconds in a minute and 60 divide by 15 is 4. Therefore you will have 4 cycles.

The time period of the pendulum is the time taken for one complete oscillation. Since the pendulum oscillates 40 times in 4 seconds, the time period of each oscillation is 4 seconds divided by 40, which equals 0.1 seconds.

The frequency of the pendulum is 1/3 Hz, as frequency is the number of complete cycles (swings) per second. Since it completes one cycle every 3 seconds, the frequency is the reciprocal of the time period, which is 1/3 Hz.

Recessions and periods of economic growth as the efficient response to exogenous changes in the real economic environment.

That depends on the period of the clock's pendulum. If we assume it's one second, then it does 1800 cycles in half an hour.

Actually, the time for a complete to-and-fro swing of a pendulum is called its period, which is the time taken to complete one full cycle of motion. The frequency of a pendulum is the number of cycles it completes in a given time, usually measured in hertz (cycles per second).