Linear Speed, Angular Speed and Arc Length!!!
Linear Speed Example # 1
1 revolution is equal to 2π unit of time (this is also the raduis.)
A ferris wheel with a radius of 15 in has 3 revolutions per second. Convert to miles per hour.
1. Convert revolutions to radians
2. Write Equation
3. Fill in equation w/ your information
4. Convert from in/sec to mi/hr
5. Write out answer
Linear Speed Example #2
A ferris wheel with a radius of 10 ft makes 6 revolutions in 1 sec. Convert to inches per min.
1. Convert to radians
2. Write equation
3. Fill in equation w/ your information
4. Convert from ft/sec to in/min
5. Wirte down answer
Linear Speed Example #3
A ferris wheel has a radius of 90 cm and makes 3.5 revolution in per second. Convert to meters per minute. (Find the answer to this problem on "other" page.)
Angular Speed Example #1
Given the linear speed of 100 mi/hr and the radius of 2 mi find the angular speed in rev/sec.
1. Write equation
2. Fill equation w/ given information
3. Convert to revolutions per second
4. Write down answer
Angular Speed Example #2
Given the linear speed of 75m/s and the radius of 15m find the angular speed in revolutions per second.
1. Write equation
2. Fill in the equation w/ given information
3. Convert to rev/sec
4. Write answer
Angular Speed Example #3
Given the linear speed of 60 km/s and the radius of 30 km find the angular speed in revolutions per second. (Answer this problem can be found on "other" page.)
Arc Length Example #1
The needle of a scale in grocery store moves 62° and has a radius of 6 cm. Find the arc length.
1. Write equation
2. Convert degrees to radians
3. Fill in equation w/ given information
4. Write answer
Arc Length Example #2
The needle of a scale in grocery store moves 10° and has a radius of 3.5 in. Find the arc length.
1. Write equation
2.Convert degrees to radians
3. Fill in equation
4. Write answer
Arc Length Example #3
The needle of a scale in grocery store moves 290° and has a radius of 5 cm. Find the arc length. (Find the answer to this problem on "other" page.)