Question

a 90 horsepower outboard motor at full throttle will rotate its propeller at 5000 revolutions per minute. find the angular velocity of the propeller in radians per second

Answer 1

The angular velocity of the propeller is approximately 523.33 radians per second when the 90 horsepower outboard motor is at full throttle.

To find the angular velocity of the propeller in radians per second, we can use the formula:

Angular velocity = (Revolutions per minute) * (2π radians) / (60 seconds)

Given that the propeller rotates at 5000 revolutions per minute (RPM), we can substitute this value into the formula:

Angular velocity = (5000 RPM) * (2π radians) / (60 seconds)

Now, let's simplify the equation:

Angular velocity = (5000 * 2π) / 60

To calculate the value, we can use the approximation π ≈ 3.14

Angular velocity ≈ (5000 * 2 * 3.14) / 60

Calculating further:

Angular velocity ≈ 523.33 radians per second

Therefore, the angular velocity of the propeller is approximately 523.33 radians per second when the 90 horsepower outboard motor is at full throttle.