Entrance and exit ramps for freeways in (Figure 1) are often circular stretches of road. As you go around one at a constant speed, you will experience a constant acceleration. Suppose you drive through an entrance ramp at a modest speed and your acceleration is 2.0m/s2 .
You are watching: What will be the acceleration if you triple your speed?
What will be the acceleration if you triple your speed?
Express your answer to two significant figures and include the appropriate units.
You need to be a lot more careful with the wording.
I am imagining that you are asking about centripetal acceleration not linear acceleration.
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i.e talking about the sideways forces that you experience.
For these accelerations a = w^2 r = v^2 /r (w is the angular velocity)
v is the linear velocity and r is the radius of the circle.
Now for your question r does not change but we do wish to consider v.
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so a is proportional to v^2
This means that if you double your speed than (a) goes up by the factor of (2^2) which is 4 times
At three times the speed (a) increases by a factor of (3^2) which is 9 times greater.
9 times 2.0 m/s^2 is
=18.00 m/s^2
Edit
Added Fri, 18 Dec “15
UladKasach
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