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1. Two particles A and B move at a constant speed in circular paths at the same

ID: 1578941 • Letter: 1

Question

1. Two particles A and B move at a constant speed in circular paths at the same angular speed . Particle A's circle has a radius that is seven times the length of particle B's circle. What is the ratioTA/TB of their periods?

2. A jetliner travels with a constant speed of 597.4 km/h relative to the air to a city 780.1 km due south.

(a) What is the time interval required to complete the trip if the jetliner is experiencing a headwind of 48.5 km/htoward the north?

_____________ h

(b) What is the time interval required to complete the trip if the jetliner now experiences a tailwind of the same speed?
______________ h

(c) What is the time interval required to complete the trip if the jetliner now experiences a crosswind of the same speed relative to the ground towards the west? (Enter your answer to at least three decimal places.)
______________ h

Explanation / Answer

1. wA = wB = w

T = 2 pi / w

angular speed is same for both hence

TA / TB = 1