Answer:
1. Angular velocity: 9.42 radians per second
2. Linear velocity: 235.5 cm per second
3. Frequency: 1.5 Hz
Step-by-step explanation:
1. To calculate the angular velocity, we can use the formula:
Angular velocity = (2π * Number of revolutions) / Time
Given that the body makes 6 complete revolutions in 4.0 seconds, we can substitute these values into the formula:
Angular velocity = (2π * 6) / 4.0 = 9.42 radians per second
So, the angular velocity of the body is 9.42 radians per second.
2. To calculate the linear velocity, we can use the formula:
Linear velocity = Angular velocity * Radius
Given that the radius of the circle is 25.0 cm, we can substitute the angular velocity we calculated earlier into the formula:
Linear velocity = 9.42 radians per second * 25.0 cm = 235.5 cm per second
So, the linear velocity of the body is 235.5 cm per second.
3. To calculate the frequency, we can use the formula:
Frequency = (Number of revolutions) / Time
Given that the body makes 6 complete revolutions in 4.0 seconds, we can substitute these values into the formula:
Frequency = 6 / 4.0 = 1.5 Hz
So, the frequency of the body is 1.5 Hz.
In summary:
1. Angular velocity: 9.42 radians per second
2. Linear velocity: 235.5 cm per second
3. Frequency: 1.5 Hz