Answer:
152.87 degree/seconds
Step-by-step explanation:
1 rotation = Circumference of a circle = 2Ď€r
r = 15 inches
1 rotation = 2 Ă— 3.14 Ă— 15
94.2 inches.
We are told in the question that it takes 30 seconds to roll 100 feet along the ground
Convert feet to inches
1 feet = 12 inches
100 feet =
100 Ă— 12 = 1200 inches.
Hence, if
94.2 inches = 1 rotation
1200 inches = X
Cross multiply
94.2 Ă— X = 1200 Ă— 1
94.2X = 1200
X = 1200/94.2
X = 12.738853503 rotations
Formula for Angular velocity = Number of rotations Ă— 2Ď€/time in seconds
Time = 30 seconds
12.738853503 Ă— 2 Ă— 3.14/30
= 2.6666666667 rotations per second
Converting Angular velocity to degree per second
= 2.6666666667 × 180/ π
= 2.6666666667 Ă— 180/3.14
= 152.86624204 degree/seconds
Approximately to 2 decimal places
= 152.87 degree/seconds
