A body moving in a circle of radius 1m traverses an angle of 57.3 degrees. The distance covered by the body along the circle is?
- NCSLv 7hace 1 mesRespuesta preferida
arc distance s = rΘ = 1m * (57.3π/180) rads = 1 m
- PhilomelLv 7hace 1 mes
The circumference of a 1 m radius circle is 2 pi r= 6.28m in 360 degrees. so a sector of 57.3 degrees has a sector of 6.28*57.3/360=1.000m.
- Andrew SmithLv 7hace 1 mes
There are several ways to think about it. The FRACTION of a circle is 57.3 / 360. The total length around the circle is 2pi() r = 2pi()*1
so the arc length is 2*pi()* 57.3/360 ~= 1.00 m
For such problems we invented radians where an entire circle is 2pi() radians. so that 1 radian is 1/ 2pi() of the whole circle which means that an arc length of 1 radian in a circle of radius r is 1/2pi() * 2 pi() r = r
- oubaasLv 7hace 1 mes
d = 6.2832*57.3/360 = 1.000 m