Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74 . In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178 , you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74 . In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178 , you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74. In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178, you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
A string can support a stationary hanging load of mass
25 kg before breaking. a) Calculate the maximum tension
that the string can support. b) Suppose one end of the
string is attached to an object of mass m = 3 kg, while the
other end is fixed to the center of a frictionless table as
shown in the figure. When given an initial speed, the object
moves along a horizontal circle of radius R = 0.8 m.
Calculate the maximum speed the object can have before
the string breaks.
Can you drive your car in such a way that your tangential acceleration is zero while at the same time your centripetal acceleration isnonzero? Give an example if your answer is yes; state why not ifyour answer is no
Draw the acceleration vector for the shot
put and the forces acting on it.
а.
Assume the chain is massless.
Calculate the centripetal force if it
goes around 50 times in a minute
and its mass is 5 kg, given that the
radius is 1.5 m.
b.
Figure 7-15
What force acts to keep the shot
from flying off on the tangent line
indicated? What must be true about
с.
this force and the centripetal force?
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