The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 and the arc length separating the two hands is 1.0 m is 81.8°.
The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 m and the arc length separating the two hands is 1.0 m is determined as follows:
Total angle in a clock = 360°
radius of the clock, r = 0.70
Circumference of the circle = 2πr
Length of the arc = 1.0 m
Angle that makes the arc length = θ
Length of arc, l = θ/360 * 2πr
Angle that makes the arc length, θ = l * 360/2πr
Angle that makes the arc length, θ = 1.0 * 360 * 7/ (2 * 22 * 0.7)
Angle that makes the arc length, θ = 81.8°
In conclusion, the angle of rotation (in degrees) between two hands of a clock if the radius of the clock is found from the length of the arc and the radius of the clock.
Learn more about length of arc at: https://brainly.com/question/28108430
#SPJ1
