A 1500kg car travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m.

What is the average velocity of the car during one revolution?

Zero. Do you see why? After one revolution, you are back where you started.

Zero is also the time average of the velocity vector, since it spends equal times pointing in all directions.

To find the average velocity of the car during one revolution, we need to find the distance traveled and the time taken for one revolution.

The circumference of a circle can be found using the formula:
C = 2πr

Here, the radius (r) of the circular track is given as 85 m. So, the circumference (C) of the track is:
C = 2π(85)
C ≈ 2 × 3.14 × 85
C ≈ 535.6 m

Since one revolution is equal to one complete lap around the circular track, the distance traveled during one revolution is equal to the circumference of the track. So, the distance traveled (d) during one revolution is approximately 535.6 m.

The formula for average velocity is:
v = d / t

We need to find the time taken (t) for one revolution.

Since the car is traveling at a constant speed of 22 m/s, the time taken for one revolution can be found using the formula:
t = d / v

Plugging in the values, we have:
t = 535.6 / 22
t ≈ 24.35 s

Now, we can calculate the average velocity (v) using the formula:
v = d / t

Plugging in the values, we have:
v = 535.6 / 24.35
v ≈ 21.99 m/s

Therefore, the average velocity of the car during one revolution is approximately 21.99 m/s.

To find the average velocity of the car during one revolution, we need to determine the total distance covered by the car and the time it takes to complete one revolution.

The distance covered by the car during one revolution is equal to the circumference of the circular track. The formula to calculate the circumference is given by:

Circumference = 2πr

where r is the radius of the circular track. Substituting the given value of the radius (85 m), we get:

Circumference = 2π * 85 = 170π

Since one revolution completes the distance equal to the circumference, the total distance covered by the car during one revolution is 170π meters.

Now, let's determine the time it takes for the car to complete one revolution. The formula to calculate the time is given by:

Time = Distance / Speed

Substituting the values, we have:

Time = 170π / 22 ≈ 24.32 seconds

Therefore, the car takes approximately 24.32 seconds to complete one revolution.

Finally, to find the average velocity of the car during one revolution, we use the formula:

Average Velocity = Total Distance / Time

Substituting the values, we have:

Average Velocity = (170π) / 24.32 ≈ 22.06 m/s

Hence, the average velocity of the car during one revolution is approximately 22.06 m/s.