To solve this problem, we need to use the formula for the average angular speed, which is (ωf + ωi)/2, where ωf is the final angular speed and ωi is the initial angular speed.

Step 1: Calculate the average angular speed
The initial angular speed (ωi) is 100 rad/s and the final angular speed (ωf) is 200 rad/s. So, the average angular speed is (200 rad/s + 100 rad/s) / 2 = 150 rad/s.

Step 2: Calculate the total angle rotated
The total angle rotated can be found by multiplying the average angular speed by the time. So, the total angle rotated is 150 rad/s * 10 s = 1500 rad.

Step 3: Convert radians to revolutions
There are 2π radians in one revolution. So, to convert 1500 rad to revolutions, we divide by 2π.

1500 rad / 2π ≈ 239 revolutions.

So, the automobile made approximately 239 revolutions in this time interval.

Question

To solve this problem, we need to use the formula for the average angular speed, which is (ωf + ωi)/2, where ωf is the final angular speed and ωi is the initial angular speed.

Step 1: Calculate the average angular speed
The initial angular speed (ωi) is 100 rad/s and the final angular speed (ωf) is 200 rad/s. So, the average angular speed is (200 rad/s + 100 rad/s) / 2 = 150 rad/s.

Step 2: Calculate the total angle rotated
The total angle rotated can be found by multiplying the average angular speed by the time. So, the total angle rotated is 150 rad/s * 10 s = 1500 rad.

Step 3: Convert radians to revolutions
There are 2π radians in one revolution. So, to convert 1500 rad to revolutions, we divide by 2π.

1500 rad / 2π ≈ 239 revolutions.

So, the automobile made approximately 239 revolutions in this time interval.

Knowee AI · Accepted Answer

To solve this problem, we need to use the formula for the average angular speed, which is (ωf + ωi)/2, where ωf is the final angular speed and ωi is the initial angular speed.

Step 1: Calculate the average angular speed
The initial angular speed (ωi) is 100 rad/s and the final angular speed (ωf) is 200 rad/s. So, the average angular speed is (200 rad/s + 100 rad/s) / 2 = 150 rad/s.

Step 2: Calculate the total angle rotated
The total angle rotated can be found by multiplying the average angular speed by the time. So, the total angle rotated is 150 rad/s * 10 s = 1500 rad.

Step 3: Convert radians to revolutions
There are 2π radians in one revolution. So, to convert 1500 rad to revolutions, we divide by 2π.

1500 rad / 2π ≈ 239 revolutions.

So, the automobile made approximately 239 revolutions in this time interval.

The angular speed of an automobile is increased uniformly from 100 rad/s to 200 rad/s in 10 seconds. Calculate the number of revolutions made in this time interval.*1 point239 revs200 revs100 revs50 revs

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