An automobile tire is rated to last for 35,000 miles. To an order of magnitude,
ID: 1571206 • Letter: A
Question
An automobile tire is rated to last for 35,000 miles. To an order of magnitude, through how many revolutions will it turn? 5631.5 revolutions Two points in the xy plane have Cartesian coordinates (3.00, -4.00) m and (-4.00, 4.00) m. (a) Determine the distance Between these points. 10.63 m (b) Determine their polar coordinates. (3.00, -4.00) r = 5 m theta = -45 degree (counterclockwise from the + x axis is positive) (-4.00, 4.00) r = m theta = degree (counterclockwise from the + x axis is positive) A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a two-dimensional Cartesian coordinate system. The fly Is located at the point having coordinates (1.95, 0.95) m. (a) How far is it from the origin. m (b) What is its location in polar coordinates? r = m theta degree counterclockwise from the +x axisExplanation / Answer
4. the no of revolutions the tyre can make for the distance of35000 miles depends on the radius of the tyre
we know that for one revolution the distance will cover is d = 2pi*r
total no of revolutions is n = 35000*1600/(2pi*r)
5. a) 10.63 m
b) polar coordinates for the given point
(3,-4) is for the point (x,y) r = sqrt(x^2+y^2)
r1 = sqrt(3^2+(-4)^2)
r1 = 5 m
theta = arc tan (y/x)
= arc tan (-4/3)
= -53.13 degrees
polar coordinates for the given point
(-4,4) is for the point (x,y) r = sqrt(x^2+y^2)
r1 = sqrt((-4)^2+4^2)
r1 = 5.66 m
theta = arc tan (y/x)
= arc tan (4/-4)
= -45 degrees
6.
given co-ordinate point is (1.95,0.95) m
a) form the origine it is at a distance of r = sqrt(1.95^2+0.95^2)= 2.17 m
b) polar co ordinates r= sqrt(1.95^2+0.95^2)= 2.17 m
theta = arc tan(0.95/1.95) = 25.97 degrees
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