A horizontal turntable is rotating clockwise at a speed of 36.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.01 cm), the spider jumps straight up to a height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your answers in vector form.) (a) Find the position (in cm) of point A at the instant the spider lands back on the turntable. FAS cm (b) Find the position (in cm) of the spider at the instant it lands back on the turntable. spider, final cm

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A horizontal turntable is rotating clockwise at a speed of 36.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the
center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A
jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.01 cm), the spider jumps straight up to a
height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your
answers vector form.)
(a) Find the position (in cm) of point A at the instant the spider lands back on the turntable.
FAM
J
cm
(b) Find the position (in cm) of the spider at the instant it lands back on the turntable.
spider, final
cm
This figure (lal = 16.0 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 4.30 m at a certain instant of time.
30.0
(a) For that instant, find the radial acceleration of the particle.
m/s2 (toward the center)
(b) For that instant, find the speed of the particle.
m/s
(c) For that instant, find its tangential acceleration.
m/s² (in the direction of the motion)
Transcribed Image Text:A horizontal turntable is rotating clockwise at a speed of 36.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.01 cm), the spider jumps straight up to a height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your answers vector form.) (a) Find the position (in cm) of point A at the instant the spider lands back on the turntable. FAM J cm (b) Find the position (in cm) of the spider at the instant it lands back on the turntable. spider, final cm This figure (lal = 16.0 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 4.30 m at a certain instant of time. 30.0 (a) For that instant, find the radial acceleration of the particle. m/s2 (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s² (in the direction of the motion)
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