To find the flywheel's rate of revolutions per second, we can use the concept of unit rates. The unit rate is a rate in which the denominator is 1 unit. Let's break down the problem step by step:
Given:
- The flywheel rotates 60 revolutions in 15 seconds.
Step 1: Find the rate of revolutions per second.
To do this, we can divide the total number of revolutions by the total number of seconds.
Rate = Total revolutions / Total seconds
In this case, the total revolutions is 60, and the total seconds is 15.
Rate = 60 revolutions / 15 seconds
Step 2: Simplify the rate.
To simplify the rate, we can divide both the numerator and denominator by their greatest common divisor (gcd), which is 15.
Rate = (60 / 15) revolutions / (15 / 15) seconds
Simplifying further, we have:
Rate = 4 revolutions / 1 second
Step 3: Identify the unit rate.
Since the denominator is now 1 unit, we can say that the unit rate is:
Unit rate = 4 revolutions per second
Step 4: Identify the rate unit.
The rate unit is the unit of measurement used in the rate. In this case, the rate unit is "revolutions per second."
So, the solutions are:
- The flywheel's rate of revolutions per second is 4 revolutions per second.
- The unit rate is 4 revolutions per second, with a rate unit of "revolutions per second."
Math Laws Used:
- Division: We divided the total revolutions by the total seconds to find the rate.
- Simplification: We simplified the rate by dividing both the numerator and denominator by their greatest common divisor (gcd).
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed (), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
(Eq. 1)
Where:
- Number of revolutions done, measured in revolutions.
- Time, measured in seconds.
If we know that and , then the angular speed of the flywheel is:
The flywheel rate of the flywheel is 4 revolutions per second.
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed (), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
(Eq. 1)
Where:
- Number of revolutions done, measured in revolutions.
- Time, measured in seconds.
If we know that and , then the angular speed of the flywheel is:
The flywheel rate of the flywheel is 4 revolutions per second.
14
helpful
rating
), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
(Eq. 1)
- Number of revolutions done, measured in revolutions.
- Time, measured in seconds. 
and 
, then the angular speed of the flywheel is:
Get help with homework
