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Physics homework. help!? |
the distance of onemlap around and oval dirt bike track is 1.25 km. if a rider going at a constant speed males one lap in 1.10 minutes, what is the speed of the bike and rider in meters per second? is the velocity of the bike also constant? explain The speed of rider and bike is 1.25*1000/66 = 18.94 m/s now as speed is a scalar quantity but velocity is a vector hence velocity of the bike will vary with the shape of track,which is an ellipse .. What is it you don't understand? Can you convert 1.25 km into meters? Can you convert 1.10 minutes into seconds? You can figure out the speed from the distance and time. by definition speed is distance divided by time. it is a scalar. 1 km = 1000 m ==> 1.25 km = 1250 m 1 min = 60 s ==> 1.10 min = 66 s speed = distance/time = 1250 m / 66 s = 18.94 m/s velocity is displacement divided by time, where displacement is the difference between final position and initial position. it is a vector. although it maintains its speed, the velocity is changing of direction at any moment. A particular case: the mean velocity at the end of one lap is zero because initial and final positions are the same. even though the path is odd, as the speed is constant, you can treat the bike is riding on a straight line in the sense of SPEED. So speed is 1.25/1.10 km per min. velocity is a vector. A vector consists of two parts, and those are magnitude and direction. magnitude of the velocity is speed is a constant. but as rider is going along an oval direction is changing always. (otherwise rider should be moving on a straight line). So answer is clear. Velocity is not a castanet through out the ride since direction is changed. Average speed of the rider (and the bike) for the duration of the lap is about 18.94 m/sec (1250/ 66) or 68.2 km/hr. No, the rider's velocity wasn't constant. By definition velocity is a vector bearing both a magnitude (at an instant of time) AND direction (at that instant), while speed is a scalar quantity representing an average value of velocities over a time interval. In this case the rider is changing the direction constantly since the track is oval (though the rider's speed was constant). So the rider's velocity was NOT constant and the speed was as calculated above. Hope that helps. speed = 1250/70; =17.85714285714285714285714285... m/s velocity is not constant as direction changes |
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