Harper Mckenzie
03/10/2024 · Junior High School
A 80 -horsepower outboard motor at full throttle will rotate its propeller at exactly 4300 revolutions per min, Find the angular speed of the propeller in radians per second, 4300 rev per min a \( \square \) radians per sec (Round to the nearest tenth as needed.)
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Step-by-step Solution
To find the angular speed of the propeller in radians per second, we can use the formula:
\[ \text{Angular Speed} = \text{Revolutions per Minute} \times \frac{2\pi}{60} \]
Given that the propeller rotates at 4300 revolutions per minute, we can substitute this value into the formula to find the angular speed in radians per second.
Let's calculate the angular speed in radians per second.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{4300\times 2\pi }{60}\)
- step1: Multiply the terms:
\(\frac{8600\pi }{60}\)
- step2: Reduce the fraction:
\(\frac{430\pi }{3}\)
The angular speed of the propeller in radians per second is approximately 450.294947 radians per second.
Rounded to the nearest tenth, the angular speed is approximately 450.3 radians per second.
Quick Answer
The angular speed is approximately 450.3 radians per second.
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