Answer:
2.983 ft/sec
Step-by-step explanation:
Given that
Distance between center and Jasmine riding on a carousal = 9.5 feet
Time taken to complete one rotation = 20 seconds
To find:
Jasmine's linear speed = ?
Solution:
Number of revolutions per minute = [tex]\frac{60}{20} = 3[/tex]
Formula for linear speed is given as:
[tex]v=\dfrac{2\pi}{60}\cdot r\cdot RPM[/tex]
Where [tex]r[/tex] is the radius of circular path and
[tex]RPM[/tex] is the number of revolutions per minute.
[tex]v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}[/tex]
Therefore, the linear speed is 2.983 ft/sec.
