CIRCULAR MOTION
Question: A woman flying aerobatics executes a maneuver as illustrated in the Figure.
r=380m
v=65m/s
m=55kg
1A) Determine the value of the centripetal force acting on the woman flying the airplane when at the top of the loop as indicated in the figure.
1A Solution) Fc=(mv^2)/r ---> (55kg(65m/s^2)) /380m = 611.5N or 612N
1A Explanation: The centripetal force is defined as the mass multiplied velocity squared divided by the radius of the loop. The mass of the woman is 55kg and the elocity she is travelling at is 65m/s, while the radius of the loop is 380m. When plugged into the formula, the force is 612N. 612N is the net force (73N+539N)
r=380m
v=65m/s
m=55kg
1A) Determine the value of the centripetal force acting on the woman flying the airplane when at the top of the loop as indicated in the figure.
1A Solution) Fc=(mv^2)/r ---> (55kg(65m/s^2)) /380m = 611.5N or 612N
1A Explanation: The centripetal force is defined as the mass multiplied velocity squared divided by the radius of the loop. The mass of the woman is 55kg and the elocity she is travelling at is 65m/s, while the radius of the loop is 380m. When plugged into the formula, the force is 612N. 612N is the net force (73N+539N)
Solutions...
1B) Construct a quantitative diagram of all relevant forces acting on the woman.
1B Explanation) The weight/gravity force is present, as always, and can be calculated by multiplying the mass (of the women) by the gravity value, 9.8 m/s. In this case, the value of the gravity/weight force is 539N. We can find the normal by subtracting the weight force from the net force (612N). We get 73N. This normal force is the force that the women feels pushing down on her because she is in the plane.
1C) Does the women feel lighter or heavier than normal at this position? Explain.
1C Solution) The women feels heavier because there are two forces acted on her and pushing her down: gravity-the weight (539N) as well as the normal (73N) ---> totals to 612N net force.
1B Explanation) The weight/gravity force is present, as always, and can be calculated by multiplying the mass (of the women) by the gravity value, 9.8 m/s. In this case, the value of the gravity/weight force is 539N. We can find the normal by subtracting the weight force from the net force (612N). We get 73N. This normal force is the force that the women feels pushing down on her because she is in the plane.
1C) Does the women feel lighter or heavier than normal at this position? Explain.
1C Solution) The women feels heavier because there are two forces acted on her and pushing her down: gravity-the weight (539N) as well as the normal (73N) ---> totals to 612N net force.