Math Problem Statement
find the angular velocity in radians per second for 157 rpm
Solution
To find the angular velocity in radians per second (rad/s) for 157 revolutions per minute (RPM), we can use the following conversion formula:
Substituting 157 RPM:
Now, let's calculate it.
So, the angular velocity is approximately 16.44 radians per second.
Would you like further explanation or have any other questions?
Related Questions:
- What is the angular velocity in degrees per second for 157 RPM?
- How is angular velocity related to linear velocity?
- What is the period (time for one full revolution) for 157 RPM?
- How does RPM affect the centripetal force on a rotating object?
- How can you calculate angular displacement from angular velocity?
Tip:
Angular velocity is directly proportional to RPM, so increasing RPM increases the angular velocity at the same rate.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Angular Velocity
Unit Conversion
Formulas
Angular Velocity (ω) = RPM × (2π radians/1 revolution) × (1 minute/60 seconds)
Theorems
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Suitable Grade Level
Grades 9-12