The displacement of an oscillating mass is given by x(t) = 10 cos( 4 t). At time t = 2n s, what is the acceleration of the mass in m/s²? (Note that: n = 3.1415)
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- A 1.2-kg mass oscillates according to the equationx(t)=0.18 cos(4.5t),where the position x(t) is measured in meters. a) What is the period, in seconds, of this mass? b) What is the maximum acceleration of the mass, in meters per square second?The displacement of an oscillating mass is given by x(t) = 20 cos( 3 t ).At time t = 1π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)A 0.75 kg mass oscillates according to the equation x(t)=Acos(ωt). Here, A=0.67 m and ω=6.5 rad/s. What is the period, in seconds, of this mass?
- A 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters. What is the maximum acceleration of the mass, in meters per square second?use the model for the period of a pendulum, T, such that T=2pi square root of L/g, where the length ofpendulum is L and the acceleration due to gravity is g. if the acceleration due to gravity is 9.8m/s^2 and the period equals 3s, find the length to the nearest cm. (100 cm= 1m)The displacement of an oscillating mass is given by x(t) = 30 cos( 2 t ). At time t = 2π s, what is the velocity of the mass in m/s?
- Problem 2: A 0.55-kg mass oscillates according to the equation x(t)=0.69 cos(9.5t), where the position x(t) is measured in meters. Part (a) What is the period, in seconds, of this mass? T= sin() cos() tan() 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() * 1| 2 3 +| - vol BACKSPACE DEL CLEAR cosh() tanh() cotanh() END ODegrees O Radians Submit Hint Feedback I give up! Part (b) At what point during the cycle is the mass moving at it's maximum speed? Part (c) What is the maximum acceleration of the mass, in meters per square second? Part (d) At what point in the cycle will it reach it's maximum acceleration?A 7 kg mass attached to a horizontal spring oscillates at a frequency of 7 Hz. At t =0 s, the mass is at x= 6 m and has vx =− 8 m/s. What is the period (in seconds)?Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.8sin(3.8t) where time is measured in seconds and distance is measured in inches. Find the number of cycles (oscillations) the object makes per second. (Provide 4 decimal places.)
- The displacement of an oscillating mass is given by x(t) = 10 cos( 3 t ). 0.5n s, what is the acceleration of the mass in m/s2? At time t (Note that: n = 3.1415)What is the period of a pocket watch of mass m = 1.20 kg and length L = 0.356 m (14 inch), in second? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.The motion of a body is described by the equation 3.45 sin (0.120?t) where t is in s and y is in m. (b) Find the period. (e) Find the displacement at t = 27.5 s.