Answer:
By Factor of 4
Explanation:
The expression for centripetal acceleration is given as,
a = v²/r........... equation 1
Where a = centripetal acceleration, v = speed, r = radius of the circle.
Case 1
Given: v = 150 m/s, r = 500 m
Substitute into equation 1
a = 150²/500
a = 22500/500
a = 45 m/s².
Case 2
Given: v = 300 m/s, r = 500 m
Also substitute into equation 1
a = 300²/500
a = 180 m/s²
Factor of change of the acceleration = 180/45
Factor of change of the acceleration = 4.
Hence the acceleration will change by a factor of 4
The factor that represents the centripetal acceleration change should be 4
Since the centripetal acceleration expression should be:
a = v²/r........... equation 1
Here
a = centripetal acceleration,
v = speed,
r = radius of the circle.
Now
Case 1
v = 150 m/s, r = 500 m
So,
a = 150²/500
a = 22500/500
a = 45 m/s².
Case 2
v = 300 m/s, r = 500 m
So,
a = 300²/500
a = 180 m/s²
Now the factor should be
= 180/45
= 4.
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