linear speed. what is linear speed? linear speed: the speed of an object traveling along a circular...
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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