not sure how to go about solving?
As a ball rolls along a straight track it makes 13 revolutions while traveling 109 mm. Find the radius of the ball.
Convert 28.6 lb/ft^3 to kg/m^3
The ball's circumference is 109mm / 13 (do you see why?)
109 mm / 13 = 8.3846 mm
The circumference of a sphere is equal to twice the radius times pi, so, if we call the radius r,
8.3846 = r X 2 X pi
8.3846 / (2 X pi) = r
8.3846 / (2 X 3.1416) = r
1.33445 = r
The radius of the ballis 1.33445 mm.
one kilogram = 2.205 pounds
one meter = 3.281 feet
one cubic meter = 3.281^3 cubic feet, or 35.32 cubic feet
so 1 kg/m^3 = 2.205lbs / 35.32 cubic feet, or 0.0624 lb/ft^3
so 28.6 lb/ft^3 = 38.6 / 0.0624 kg/m^3, or 618.3 kg/m^3
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Verified answer
The ball's circumference is 109mm / 13 (do you see why?)
109 mm / 13 = 8.3846 mm
The circumference of a sphere is equal to twice the radius times pi, so, if we call the radius r,
8.3846 = r X 2 X pi
8.3846 / (2 X pi) = r
8.3846 / (2 X 3.1416) = r
1.33445 = r
The radius of the ballis 1.33445 mm.
one kilogram = 2.205 pounds
one meter = 3.281 feet
one cubic meter = 3.281^3 cubic feet, or 35.32 cubic feet
so 1 kg/m^3 = 2.205lbs / 35.32 cubic feet, or 0.0624 lb/ft^3
so 28.6 lb/ft^3 = 38.6 / 0.0624 kg/m^3, or 618.3 kg/m^3