The horsepower (hp) that a shaft can safelytransmit varies jointly with its speed (in revolutions perminute, rpm) and the cube of its diameter. If a shaft of acertain material 2 inches in diameter can transmit 36 hp at75 rpm, what diameter must the shaft have in order to transmit45 hp at 125 rpm?
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
The horsepower (hp) that a shaft can safely
transmit varies jointly with its speed (in revolutions per
minute, rpm) and the cube of its diameter. If a shaft of a
certain material 2 inches in diameter can transmit 36 hp at
75 rpm, what diameter must the shaft have in order to transmit
45 hp at 125 rpm?
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