Solve each problem. See Example 6. Revolutions of a Turntable A turntable in a shop makes 45 revolutions per min. How many revolutions does it make per second?

Verified step by step guidance

1. Start by identifying the given information: the turntable makes 45 revolutions per minute.
2. Understand that you need to convert revolutions per minute to revolutions per second.
3. Recall the conversion factor: 1 minute is equal to 60 seconds.
4. Set up the conversion by dividing the number of revolutions per minute by the number of seconds in a minute: \( \frac{45 \text{ revolutions}}{60 \text{ seconds}} \).
5. Simplify the fraction to find the number of revolutions per second.

Key Concepts

Revolutions per Minute (RPM)

Revolutions per minute (RPM) is a unit of rotational speed that indicates how many complete turns an object makes in one minute. In this context, the turntable's speed is given as 45 RPM, meaning it completes 45 full rotations every minute. Understanding RPM is crucial for converting this measurement into other time units, such as seconds.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this problem, we need to convert revolutions per minute to revolutions per second. This involves dividing the RPM value by the number of seconds in a minute (60 seconds) to find the equivalent speed in revolutions per second.

Basic Arithmetic Operations

Basic arithmetic operations, including addition, subtraction, multiplication, and division, are fundamental mathematical skills necessary for solving problems. In this case, division is used to convert the RPM to revolutions per second. Mastery of these operations is essential for accurately performing calculations in various mathematical contexts, including trigonometry.