11.138 Dynamics AL11.135 Human centrifuges are often used to simulate different accelerationlevels for pilots and astronauts. Space shuttle pilots typically faceinwards towards the center of the gondola in order to experiencea simulated 3-g forward acceleration. Knowing that the astronautsits 5 m from the axis of rotation and experiences 3 g's inward,determine her velocity.Fig. P11.1355 m11.136 The diameter of the eye of a stationary hurricane is 20 mi and themaximum wind speed is 100 mi/h at the eye wall with r = 10 mi.Assuming that the wind speed is constant for constant r and decreasesuniformly with increasing r to 40 mi/h at r = 110 mi, determine themagnitude of the acceleration of the air at (a) r = 10 mi, (b) r = 60 mi,(c) r = 110 mi.Fig. P11.13620 mi-220 mi11.137 The peripheral speed of the tooth of a 10-in.-diameter circular sawblade is 150 ft/s when the power to the saw is turned off. The speedof the tooth decreases at a constant rate, and the blade comes to restin 9 s. Determine the time at which the total acceleration of the toothis 130 ft/s².11.138 A robot arm moves so that P travels in a circle about point B, which isnot moving. Knowing that P starts from rest, and its speed increasesat a constant rate of 10 mm/s², determine (a) the magnitude of theacceleration when t = 4 s, (b) the time for the magnitude of theacceleration to be 80 mm/s².Fig. P11.1380.8 mB

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moving. Knowl at a constant rate of 10 mm/s², determine (a) the magnitude of the acceleration when t = 4 s, (b) the time for the magnitude of the acceleration to be 80 mm/s².

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

11.138 Dynamics

AL
11.135 Human centrifuges are often used to simulate different acceleration
levels for pilots and astronauts. Space shuttle pilots typically face
inwards towards the center of the gondola in order to experience
a simulated 3-g forward acceleration. Knowing that the astronaut
sits 5 m from the axis of rotation and experiences 3 g's inward,
determine her velocity.
Fig. P11.135
5 m
11.136 The diameter of the eye of a stationary hurricane is 20 mi and the
maximum wind speed is 100 mi/h at the eye wall with r = 10 mi.
Assuming that the wind speed is constant for constant r and decreases
uniformly with increasing r to 40 mi/h at r = 110 mi, determine the
magnitude of the acceleration of the air at (a) r = 10 mi, (b) r = 60 mi,
(c) r = 110 mi.
Fig. P11.136
20 mi
-220 mi
11.137 The peripheral speed of the tooth of a 10-in.-diameter circular saw
blade is 150 ft/s when the power to the saw is turned off. The speed
of the tooth decreases at a constant rate, and the blade comes to rest
in 9 s. Determine the time at which the total acceleration of the tooth
is 130 ft/s².
11.138 A robot arm moves so that P travels in a circle about point B, which is
not moving. Knowing that P starts from rest, and its speed increases
at a constant rate of 10 mm/s², determine (a) the magnitude of the
acceleration when t = 4 s, (b) the time for the magnitude of the
acceleration to be 80 mm/s².
Fig. P11.138
0.8 m
B

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