Outboard motor propeller A 90-horsepower outboard motor at full throttle will rotate its propeller at 5000 revolutions per minute.
(a) Find the angular speed ⍵ of the propeller in radians per second.
(b) The center of a 10-inch-diameter propeller is located 18 inches below the surface of the water. Express the depth D(t) = a cos (⍵t + c)+ d of a point on the edge of a propeller blade as a function of time t, where t is in seconds. Assume that the point is initially at a depth of 23 inches.
(c) Graphically determine the number of times the propeller rotates in 0.12 second.
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