A group of students observes that a wooden block (m = 0.40 kg) on the end of a string with a radius of 0.7 meters makes 9 rotations in 20.7 seconds when twirled.
Nice. Is there a question here?
Yes Sorry here are the questions
a)What is the block's tangential (linear) speed?
b)What is the block's angular speed?
To find the angular velocity, we can start by finding the number of radians in one revolution. We know that a circle has 2π radians, and there are 9 rotations, so the total number of radians in 9 rotations would be:
Total radians = 9 rotations * 2π radians/rotation
Next, we need to find the time it takes for 9 rotations. We are given that the block makes 9 rotations in 20.7 seconds.
Now, we can find the angular velocity, which is the change in angle with respect to time:
Angular velocity = Total radians / Time
Finally, we can calculate the angular velocity by substituting the values we have:
Angular velocity = (9 rotations * 2π radians/rotation) / 20.7 seconds
Now, let's calculate the angular velocity.