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.)