Consider an Airbus aircraft flying in a holding pattern while waiting to land. The airspeed (of the center of mass relative to Earth) is 97 m/s in the b₁ direction. And the angular speed of the aircraft is 0.13 rad/s in the 0.28 b₂ + 0.96 b3 direction. One of the food carts is not locked and it rolls down the aisle at a speed of 3.2 m/s in the negative b₁ direction. What is the magnitude of the velocity of the cart relative to the Earth when it is at a location of 25 m in the negative b₁ direction from the center of mass of the aircraft.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter9: Momentum And Its Conservation
Section: Chapter Questions
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Consider an Airbus aircraft flying in a holding pattern while waiting to land.
The airspeed (of the center of mass relative to Earth) is 97 m/s in the b₁
direction. And the angular speed of the aircraft is 0.13 rad/s in the 0.28 b₂ +
0.96 b3 direction. One of the food carts is not locked and it rolls down the
aisle at a speed of 3.2 m/s in the negative b₁ direction. What is the
magnitude of the velocity of the cart relative to the Earth when it is at a
location of 25 m in the negative b₁ direction from the center of mass of the
aircraft.
Note b₁,b₂, b3 are unit vectors fixed in the spacecraft reference frame.
Transcribed Image Text:Consider an Airbus aircraft flying in a holding pattern while waiting to land. The airspeed (of the center of mass relative to Earth) is 97 m/s in the b₁ direction. And the angular speed of the aircraft is 0.13 rad/s in the 0.28 b₂ + 0.96 b3 direction. One of the food carts is not locked and it rolls down the aisle at a speed of 3.2 m/s in the negative b₁ direction. What is the magnitude of the velocity of the cart relative to the Earth when it is at a location of 25 m in the negative b₁ direction from the center of mass of the aircraft. Note b₁,b₂, b3 are unit vectors fixed in the spacecraft reference frame.
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