5. A Ferris wheel of radius 12m is turning about a horizontal axis through its center, such that the linear speed of a passenger on the rim is constant and equal to 9m/s. a) What are the magnitude and direction of the acceleration passes through the lowest point in his circular motion? b) How long does it take for the Ferris wheel to make one revolution? the passenger as he

5. A Ferris wheel of radius 12m is turning about a horizontal axis through its center, such that the linear speed of a passenger on the rim is constant and equal to 9m/s. a) What are the magnitude and direction of the acceleration passes through the lowest point in his circular motion? b) How long does it take for the Ferris wheel to make one revolution? the passenger as he

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter1: The Study Of Motion

Section: Chapter Questions

Problem 8C: A race car starts from rest on a circular track with radius 100 m and begins to increase its speed...

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Similar questions

Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
A race car starts from rest on a circular track with radius 100 m and begins to increase its speed by m/s each second. At what point in time is the car's vector acceleration directed 45° away from straight ahead? What is the magnitude of the resultant acceleration at that moment?
A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular. (b) when the path is straight. (c) when the path is a parabola. (d) never. (ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?
A car initially travelingeastward turns north by travelingin a circular path atuniform speed as shown inFigure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s.(a) Determine the car’s speed. (b) What is the magnitude anddirection of the acceleration when the car is at point B?
A bicycle, starting from rest, accelerates at 1.67m/s2 on a circular track with a 185m diameter.What is the elapsed time, in seconds, at which the centripetal acceleration of the bicycle has the same magnitude as its tangential acceleration?
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the car’s speed. (b) What is the magnitude and direction of the acceleration when the car is at point B?
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To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r→(t)=R[cos⁡(ωt)i^+sin⁡(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^ =Rcos⁡(ωt)i^+Rsin⁡(ωt)j^. Finally, express the magnitude of the particle's acceleration in terms of R and v using the expression you obtained for the speed of the particle. Express your answer in terms of one or both of the variables R and v. (the expression for speed = ωR)
A particle moves in a circle of radius 40.0 m and the particle’s speedincreases at a rate of 0.300 m/s2. If the particle’s radial acceleration is 0.400 m/s2 at a certain instant of time, at this instant find (a) the speed of the particle (b) tangentialacceleration (c) the magnitude and direction of the total acceleration.
In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration g (that is, at 0.6g) in reaching a speed of about 110 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6g,what is the radius R of the turn?
The California sea lion is capable of making extremely fast, tight turns while swimming underwater. In one study, scientists observed a sea lion making a circular turn with a radius of 0.35 m while swimming at 4.2 m/s.a. What is the sea lion’s centripetal acceleration, in units of g?b. What percentage is this acceleration of that of an F-15 fighter jet’s maximum centripetal acceleration of 9g?
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center. The linear speed of a passenger on the rim is constant and equal to 8.00 m/s. a) What are the magnitude and direction of the passenger’s acceleration as she passes through the lowest point in her circular motion? B) How much time does it take the Ferris wheel to make one revolution?