physics help please!

The motion of a piston in an auto engine is simple harmonic. The piston travels back and forth over a distance of 23 cm, and the piston has a mass of 1.7 kg.
2515 rpm 23 cm
max speed of the piston 30.28757 m/s

What is the maximum force acting on the
piston when the engine is running at the same rate? Answer in units of N

  1. 👍
  2. 👎
  3. 👁
  1. find the frequency in Hz
    f = 2515 rev/min (1 min/60 s) = 41.92 Hz

    y = (0.23/2)sin (2 pi f t)
    y = 0.115 sin 263 t
    v = (0.115)(263) cos 263 t so yes max of 30.29 m/s
    a = -30.29(263)sin 263 t
    so max a = 7966 m/s^2
    F = m a = 1.7*7966 = 13543 Newtons

    1. 👍
    2. 👎
  2. thank you!!!!!
    i must have messed up on my calculations

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Fluid mechanics, Hydraulics

    Piston A has a cross section of 1200 While that of piston B is 950 with the latter higher than piston A by 1.75m. If the intervening passages are filled with oil whose specific gravity is 0.80, what is the difference

  2. Physics

    In a hydraulic lift, if the radius of the smaller piston is 2 cm and the radius of the larger piston is 20 cm, what weight can the larger piston support when a force of 250 N is applied to the smaller piston? d = diameter of

  3. Physics

    The motion of a piston in an automobile engine is nearly simple harmonic. If the 1-kg piston travels back and forth over a total distance of 10.0 cm, what is its maximum speed when the engine is running at 3 000 rpm? The answer is

  4. science

    the small piston of a hydraulic press has an area of 2.0 cm and the large piston has an area of 16 cm if the small piston has a force of 4.0 N applied to it the output force of the large piston is

  1. physics

    Piston 1 has a diameter of 0.643 cm. Piston 2 has a diameter of 4.59 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object, m, with weight 1151 N. (Neglect the height difference

  2. physics

    consider a vertical piston system. the piston has a 50g mass and a given radius of 3mm. what amount of pressure does the piston exert? ( use g==9.8 m/s^2 )

  3. physics

    A clown is rocking on a rocking chair in the dark. His glowing red nose moves back and forth a distance of 0.42m exactly 30 times a minute in a simple harmonic motion. (a) what is the amplitude of this motion? (b) what is the

  4. Thermodynamics

    3. A gas is confined in a 0.47-m-diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150 kg. The atmospheric pressure is 101 kPa. (a)What is the pressure of the gas in kPa? (b) If

  1. chem

    What happens during the intake stroke of a four-stroke internal combustion engine? A. The piston moves downward, creating a partial vacuum that draws in air and fuel. B. The piston moves downward as a result of the air/fuel

  2. physics

    in the hydraulic machine shown, you observe that when the small piston is pulled down 10cm, yhe large piston is raised 1 cm. if the small piston is pushed down with a force of 100n, what is the most weight that the large piston

  3. physics

    A cylinder that has a 40.0 cm radius and is 50.0 cm deep is filled with air at 20.0°C and 1.00 atm. A 21.0 kg piston is now lowered into the cylinder, compressing the air trapped inside. Finally, a 79.0 kg man stands on the

  4. Physics

    The pistons in an internal combustion engine undergo a motion that is approximately simple harmonic. If the amplitude of motion is 3.8cm , and the engine runs at 1500rpm , find the maximum acceleration of the pistons. Find their

You can view more similar questions or ask a new question.