You may have seen in a circus a motorcycle driving in vertical loops inside a 'death-well' (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the upper most point, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25m?
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Hii there,
● Explained Answer -
a) In the circle, the motorcyclist does not fall because the centripetal force provided by running motorcycle balances both the normal reaction and gravitational force.
Fc = Fg + N
mv^2/r = mg + N
b) For minimum speed,
N = 0
mv^2/r = mg
v^2 = rg
v = √(rg)
v = √(25×10)
v = 15.81 m/s
Thus, minimum speed needed to prevent motorcycle from falling is 15.81 m/s
Hope that helps you...
● Explained Answer -
a) In the circle, the motorcyclist does not fall because the centripetal force provided by running motorcycle balances both the normal reaction and gravitational force.
Fc = Fg + N
mv^2/r = mg + N
b) For minimum speed,
N = 0
mv^2/r = mg
v^2 = rg
v = √(rg)
v = √(25×10)
v = 15.81 m/s
Thus, minimum speed needed to prevent motorcycle from falling is 15.81 m/s
Hope that helps you...
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