A 8-inch diameter circular saw blade spins at 3,200 revolutions per minute. Find the angular speed of the blade in degrees per minute. Round your answer to the nearest tenth. You do not have to include units. 


To find the angular speed of the saw blade in degrees per minute, we follow these steps:

### Step 1: Convert revolutions per minute to degrees per minute
Since 1 revolution equals 360 degrees, we multiply the number of revolutions per minute (3,200) by 360 to get the angular speed in degrees per minute.

\[
\text{Angular speed} = 3,200 \, \text{revolutions per minute} \times 360 \, \text{degrees per revolution}
\]

\[
\text{Angular speed} = 1,152,000 \, \text{degrees per minute}
\]

So, the angular speed of the blade is **1,152,000** degrees per minute.

Would you like more details or have any questions? 

Here are 5 related questions to expand on this topic:
1. What is the angular speed in radians per minute?
2. How do you convert between angular speed in degrees and radians?
3. What is the relationship between angular speed and linear speed at the blade's edge?
4. If the blade spins faster, say 4,000 revolutions per minute, what is the new angular speed?
5. How would the blade's angular speed change if the diameter doubled?

**Tip:** Angular speed is often easier to calculate in radians, as 1 revolution is \(2\pi\) radians.

A 8-inch diameter circular saw blade spins at 3,200 revolutions per minute. Find the angular speed of the blade in degrees per minute. Round your answer to the nearest tenth. You do not have to include units.

Learn how to calculate the angular speed of an 8-inch diameter circular saw blade spinning at 3,200 RPM. The problem involves converting revolutions per minute to degrees per minute using the formula Angular speed = RPM × 360. Suitable for students in Grades 9-11.

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