trig problem help on circular problem?
a train is traveling at 45 mph on a section of a track that is laid along the arc of a circle radius 1500 feet. the circular part of the track subtends a central angle of 30 degrees. How long ( to the nearest second) will it take a point on the front of the train to go through this portion of track?
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Verified answer
The arc of a circle can be found by multiplying the angle (in radians) by the radius:
d = r*pi/3
Convert from feet to miles.
Then distance divided by the speed gives the time is takes to cross that arc in the train (always check units throughout these problems):
d / speed = answer
Not too bad of a problem is it?