1.) Large ships often have circular structures in their windshields. What is their purpose? Called cleaview screens, they consist of a glass disk that is rotated at high speed by a motor (in the center of the circle) to disperse rain and spray. If the screen has a diameter of 0.36 in and rotates at 1700 rpm, the speed at the rim of the screen is 32 m/s.What is the centripetal acceleration at the rim of the screen? (A large centripetal acceleration keeps liquid from remaining on the screen. For comparison, recall that the acceleration due to gravity is 9.81 m/s?2.) Driving in your car with a constant speed of u = 22 m/s, you encounter a bump in the road that has a circular cross-section. For the steps and strategies involved in solving a similar problem, you may view the following.If the radius of curvature of the bump is 52 m, find the apparent weight of a 67-kg person in your car as you pass over the top of the bump.Express your answer in newtons.3.) A woman rides on a Ferris wheel of radius 16 m that maintains the same speed throughout its motion. To better understand physics, she takes along a digital bathroom scale (with memory) and sits on it. When she gets off the ride, she uploads the scale readings to a computer and creates a graph of scale reading versus time. ( In the Figure below ) Note that the graph has a minimum value of 510 N and a maximum value of 666 N. The acceleration due to gravity, g = 9.80 m/s.What is the woman's mass?

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