A pendulum with a cord of lengthr = 0.950 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions e = 90° and 0 = 270°, its speed is 4.60 m/s. (a) Find the magnitude of the radial acceleration (in m/s2) for these positions.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
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A pendulum with a cord of length r = 0.950 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions e = 90° and
e = 270°, its speed is 4.60 m/s.
(a)
Find the magnitude of the radial acceleration (in m/s2) for these positions.
m/s2
(b)
Find the magnitude of the tangential acceleration (in m/s2) for these positions.
m/s2
(c)
Draw a vector diagram to determine the direction of the total acceleration for these two positions.
ar
à
а,
0 = 90
0 = 270°
0 = 90 °
0 = 270
at
ar
Ar
а,
a,
0 = 90°
0 = 270°
0 = 90°
0 = 270°
(d) Calculate the magnitude (in m/s2) and direction (in degrees above or below the horizontal) of the total acceleration.
magnitude
m/s2
direction
• -Select-- v the horizontal
10
Transcribed Image Text:A pendulum with a cord of length r = 0.950 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions e = 90° and e = 270°, its speed is 4.60 m/s. (a) Find the magnitude of the radial acceleration (in m/s2) for these positions. m/s2 (b) Find the magnitude of the tangential acceleration (in m/s2) for these positions. m/s2 (c) Draw a vector diagram to determine the direction of the total acceleration for these two positions. ar à а, 0 = 90 0 = 270° 0 = 90 ° 0 = 270 at ar Ar а, a, 0 = 90° 0 = 270° 0 = 90° 0 = 270° (d) Calculate the magnitude (in m/s2) and direction (in degrees above or below the horizontal) of the total acceleration. magnitude m/s2 direction • -Select-- v the horizontal 10
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