Answer:
Time taken is 0.897 sec and distance traveled is 56.36 mm
Step-by-step explanation:
It is given radius of the coin r = 10 mm
Angle measure [tex]\theta =360^{\circ}[/tex]
In radian it will be equal to
[tex]\theta =360^{\circ}\times \frac{\pi }{180}[/tex]
[tex]=2\pi =6.28radian[/tex]
Angular velocity = 78 rev/sec
It is known that [tex]\theta =\alpha t[/tex]
Therefore [tex]6.28=7\times t[/tex]
t = 0.897 sec
Now distance traveled will be equal to
[tex]d=2\pi r\times t[/tex]
[tex]=20\times 3.14\times 0.897[/tex]
[tex]=56.36mm[/tex]
Therefore time taken is 0.897 sec and distance traveled is 56.36 mm