Displacement of the weight
Question: Suppose that a weight on a spring has an initial position of s(0)=-5 inches and a period of P=2 seconds. Find a function s(t)=acos(2πFt) that models the displacement of the weight.
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The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2√3 and √73. Find the length of the hypotenuse.
To calculate the height of a tree, susie measures the angle of elevation from a point A to be 34 deg. she measures her distance to be 8 m from the base of the tree. How high is the tree to the nearest tenth of a meter?
A 40607 lb force is applied to a surface that measures 79 in long and 8 in wide. Determine the pressure exerted on the surface by the force in both psi and Pa. 1 Pa = 1.45×10-4 psi.
A 77 kg rock with a volume of 4 L is completely submerged in water. The density of water is 1 kg/L. What volume of water is displaced by the rock?
Suppose that a weight on a spring has an initial position of s(0)=-5 inches and a period of P=2 seconds. Find a function s(t)=acos(2πFt) that models the displacement of the weight.
An ac generator with E = Emsin(?dt), is connected to a capacitor with capacitance C. When the current is a maximum, what is the emf (E) of the generator?
A weight attached to a spring is pulled down 2 inches below the equilibrium position. Assuming that the frequency of the system is 5/π cycles per second, determine a trigonometric model that gives the position of the weight at time t second.
It is placed in a uniform magnetic field of 62.0mT. The initial angle between the plane of the coil and the magnetic field B is 58.0degrees. What is the magnitude of the torque acting on the coil?
Question: A surveyor measures the angle of elevation from eye level to the top of a building as 60 degrees. If he is standing 40 m away from the building and is 1.6 m tall, how high is the building? Be sure to draw and label a picture.
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