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.
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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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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
Transcribed Image Text:Write vA/B in terms of the polar coordinates.
e
e
y
285 m
B
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