Final answer:
To find the length of arc SC, we need to use the formula for arc length and the given information of radius and arc length. We can solve for the angle of rotation and then calculate the length of arc SC using the angle of rotation and the radius of the clock.
Step-by-step explanation:
To find the length of arc SC, we can use the formula:
Length of Arc = (Angle of Rotation / 360) x 2πr
Since the arc length separating the two hands of a clock is given as 1.0 m, and the radius of the clock is 0.70 m, we can set up the formula as:
1 = (Angle of Rotation / 360) x 2π * 0.70
Simplifying, we get:
Angle of Rotation = 360 * (1 / (2π * 0.70))
Calculating this will give us the angle of rotation. To determine the length of arc SC, we multiply the angle of rotation by 2πr, where r is the radius of the clock. Given that the options are presented in degrees, we need to convert the angle of rotation from radians to degrees.
Once we have the angle of rotation in degrees, we can use it to find the length of arc SC.