Car A is traveling at the constant speed of 64 km/h as it rounds the circular curve of 285-m radius and at the instant represented is at the position θ = 45°. Car B is traveling at the constant speed of 94 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and θ with the pole moving with B. For this instant determine vA/B and the values of r˙ and θ˙ as measured by an observer in car B. 3 decimals.

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
Section: Chapter Questions
Problem 7E: Write the following quantities in standard units. (a) 0.55 Ms (b) 2.8 km (c) 12 mg (d) 100 cm
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Car A is traveling at the constant speed of 64 km/h as it rounds the circular curve of 285-m radius and at the instant represented is at the position θ = 45°. Car B is traveling at the constant speed of 94 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and θ with the pole moving with B. For this instant determine vA/B and the values of r˙ and θ˙ as measured by an observer in car B. 3 decimals.

Answer: 

vA/B = (  ________ er + _________  eθ) m/s

r˙ = _____ m/s

θ˙= ______ rad/s

 

Write vA/B in terms of the polar coordinates.
e
e
y
285 m
B
Transcribed Image Text:Write vA/B in terms of the polar coordinates. e e y 285 m B
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