Linear Speed

What is Linear Speed?

What is Linear Speed?

Linear Speed: The speed of an object traveling along a circular path.

What is Linear Speed?

Linear Speed: The speed of an object traveling along a circular path.

- May just be along an arc

Recall: distance

timeSpeed

Recall:

Linear Speed:

Formula:

distance

timeSpeed

r

tv

Recall:

Linear Speed:

Formula:

* θ MUST BE IN RADIANS!!

distance

timeSpeed

r

tv

Example 1:

r = 12 mt = 11 sec.

3

4

Example 1:

r = 12 mt = 11 sec.

3

4

r

tv

Example 1:

r = 12 mt = 11 sec.

.

3

4

r

tv

3( )(12)411

v

Example 1:

r = 12 mt = 11 sec.

m/sec.

3

4

r

tv

3( )(12)411

v

2.57v

Example 2:

r = 42 ftt = 6 min.

12

Example 2:

r = 42 ftt = 6 min.

12 r

tv

Example 2:

r = 42 ftt = 6 min.

12 r

tv

(12 )(42)

6v

Example 2:

r = 42 ftt = 6 min.

ft/min.

12 r

tv

(12 )(42)

6v

263.89v

Example 3:

r = 11 mi.t = 1.5 hr.

240

Example 3:

r = 11 mi.t = 1.5 hr.

240180

Example 3:

r = 11 mi.t = 1.5 hr.

4240

180 3

Example 3:

r = 11 mi.t = 1.5 hr.

4240

180 3

r

tv

Example 3:

r = 11 mi.t = 1.5 hr.

4240

180 3

r

tv

4( )(11)31.5

v

Example 3:

r = 11 mi.t = 1.5 hr.

mph

4240

180 3

r

tv

4( )(11)31.5

v

30.72v

Practice 1:

r = 21 mt = 7 sec.

11

6

Practice 2:

r = 150 ftt = 45 sec.

500

Practice 3:

r = 2 mi.t = 0.5 hr.

250