A circular paddle wheel of radius 4 ft is lowered into a flowing river. The current causes the wheel to rotate at a speed of 15 rpm .
Part:
Part 1 of 3
(a) What is the angular speed? Round to one decimal place.
The angular speed is approximately
.

Ask by Elliott Hamilton. in the United States

Mar 23,2025

Question

A circular paddle wheel of radius 4 ft is lowered into a flowing river. The current causes the wheel to rotate at a speed of 15 rpm .
Part:
Part 1 of 3
(a) What is the angular speed? Round to one decimal place.
The angular speed is approximately
.

Ask by Elliott Hamilton. in the United States

Mar 23,2025

UpStudy AI · Accepted Answer

Given that the paddle wheel rotates at 15 revolutions per minute (rpm), we first convert the revolutions to radians. Recall that one revolution is equal to $$2\pi$$ radians.

1. Express the angular speed in terms of radians per minute:
   $$
   \omega = 15 \times 2\pi = 30\pi \quad \text{rad/min}
   $$

2. Approximating using $$\pi \approx 3.1416$$:
   $$
   30\pi \approx 30 \times 3.1416 \approx 94.2 \quad \text{rad/min}
   $$

Thus, the angular speed is approximately $$94.2 \, \text{rad/min}$$.
The angular speed is approximately $$94.2 \, \text{rad/min}$$.

A circular paddle wheel of radius 4 ft is lowered into a flowing river. The current causes the wheel to rotate at a speed of 15 rpm .
Part:
Part 1 of 3
(a) What is the angular speed? Round to one decimal place.
The angular speed is approximately
.

Upstudy AI Solution

Answer

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A circular paddle wheel of radius 4 ft is lowered into a flowing river. The current causes the wheel to rotate at a speed of 15 rpm . Part: Part 1 of 3 (a) What is the angular speed? Round to one decimal place. The angular speed is approximately .

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Latest Physics Questions

A circular paddle wheel of radius 4 ft is lowered into a flowing river. The current causes the wheel to rotate at a speed of 15 rpm .
Part:
Part 1 of 3
(a) What is the angular speed? Round to one decimal place.
The angular speed is approximately
.