Periodic Motion - HW

Front

What is periodic motion?

Back

Periodic motion is motion that repeats at regular intervals of time.

Front

Define frequency in the context of periodic motion.

Back

Frequency is the number of complete cycles or rotations that occur in one second, measured in Hertz (Hz).

Front

What is the formula to calculate frequency (f) from the period (T)?

Back

The formula is: f = \frac{1}{T}.

Front

If an object has a period of 12 seconds, what is its frequency?

Back

f = \frac{1}{12} \approx 0.08 \text{ Hz}.

Front

What is the relationship between period and frequency?

Back

Period (T) and frequency (f) are inversely related; as one increases, the other decreases.

Front

How do you calculate the time required to complete multiple rotations?

Back

Time (\Delta t) = Number of rotations \times Period (T).

Front

If an object completes 10 cycles in 50 seconds, what is its period?

Back

T = \frac{50 \text{ s}}{10} = 5 \text{ s}.

Front

What is the formula for calculating velocity (v) in circular motion?

Back

Velocity (v) = \text{Radius (r)} \times \text{Angular speed (\omega)}.

Front

How do you find the velocity of an object in circular motion if you know the frequency?

Back

v = 2\pi r f, where r is the radius and f is the frequency.

Front

What is the period of an object that rotates with a frequency of 2.5 Hz?

Back

T = \frac{1}{2.5} = 0.4 \text{ s}.