Determine the angular velocity in radians per second of 4.3 revolutions in 9 seconds. Use π = 3.14. Round the answer to the nearest tenth. Show all work.

there are 2π radians in each revolution

angular velocity = (2 * π * 4.3) / 9

Twas bryllyg, and ye slythy toves

Did gyre and gymble in ye wabe:
All mimsy were ye borogoves;
And ye mome raths outgrabe.

To determine the angular velocity in radians per second, we can use the formula:

Angular velocity = (Number of revolutions * 2π) / Time

Given that 4.3 revolutions occur in 9 seconds and π = 3.14, we can substitute these values into the formula and solve for the angular velocity.

Angular velocity = (4.3 * 2π) / 9

First, let's calculate 2π:

2π ≈ 2 * 3.14 = 6.28

Now, substitute this value into the formula:

Angular velocity = (4.3 * 6.28) / 9

Next, perform the multiplication:

Angular velocity = 26.964 / 9

Now, divide to find the angular velocity:

Angular velocity ≈ 2.996

Rounded to the nearest tenth, the angular velocity is approximately 3.0 radians per second.

To find the angular velocity in radians per second, we first need to convert the number of revolutions to radians.

1 revolution is equal to 2π radians.

So, to convert 4.3 revolutions to radians, we can multiply it by 2π:

4.3 revolutions * 2π radians/revolution = 8.6π radians.

Now we need to find the time taken for these 4.3 revolutions. Given that the time taken is 9 seconds, we can use this information to calculate the angular velocity.

Angular velocity is defined as the change in angle divided by the change in time. In this case, the change in angle is 8.6π radians and the change in time is 9 seconds.

Angular velocity = (8.6π radians) / (9 seconds) ≈ 0.956 radians/second (rounded to the nearest tenth).

Therefore, the angular velocity in radians per second of 4.3 revolutions in 9 seconds is approximately 0.956 radians/second.