Math Problem Statement
A wheel radius 10 inches is rotating 0.25 radians per second. What is the angular speed in degrees per second?
Solution
To convert the angular speed from radians per second to degrees per second, we use the conversion factor between radians and degrees:
Given:
- Angular speed = radians per second.
Now, convert this to degrees per second:
So, the angular speed is approximately 14.32 degrees per second.
Would you like any further details or have any questions?
Here are five related questions:
- How would you calculate the linear speed of a point on the wheel's edge?
- What would be the angular speed in degrees per second if the wheel rotated at 1 radian per second?
- How does the radius of the wheel affect the linear speed?
- If the angular speed was doubled, what would the new speed be in degrees per second?
- How would you convert an angular speed given in degrees per second to radians per second?
Tip: When converting between radians and degrees, always remember the key conversion: radians = 180 degrees.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Angular Speed
Radians to Degrees Conversion
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Convert Angular Velocity: 1798 RPM to Radians per Second
Calculate Angular Velocity in Revolutions per Minute (RPM)
Calculate Angular Velocity for 157 RPM in Radians Per Second
Calculate Angular Speed of a Circular Saw Blade Spinning at 3,200 RPM
Convert Angles to Radians: 88 Degrees 45 Minutes 21 Seconds