Physics

a model of a helicopter rotor has four blades, each 3.40 m in length from the central shaft to the tip of the blade. The model is rotated in a wind tunnel at 550 rev/min. A) what is the linear speed, in m/s of the blade tip? B.) what is the radial acceleration of the blade top, expressed as a multiple of the acceleration g due to gravity?

  1. 👍
  2. 👎
  3. 👁
  1. angular velocity, ω
    = 550 rpm
    = 550 * 2π /60
    = 55π/3 radians/s

    radius, r
    = 3.4 m

    A.
    Linear speed, v
    = r ω m/s
    = 3.4 * 55 π/3 m/s
    = 195.83 m/s

    B.
    radial acceleration
    = r ω2
    = 3.4 (55π/3)2 m/s/s
    = 11279 m/s/s
    = 11279 / 9.81 g
    = 1149.7 g

    1. 👍
    2. 👎
  2. B

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width .The length of the students model is 42 in What should the width of the model be? My answer is 17.5 inches

  2. physics

    A helicopter is accelerating up into the air while it is also accelerating due north. Which statement about the forces acting on the helicopter is true? The drag on the helicopter is directed upward and to the south. The drag on

  3. physics

    A small mailbag is released from a helicopter that is descending steadily at 1.01 m/s. (a) After 4.00 s, what is the speed of the mailbag? v = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts

  4. Physics

    A helicopter is flying horizontally at a constant 40 m/s when it drops a package below. Where does it land? 1. About 50 m ahead of the helicopter 2. About 80 m behind the helicopter 3. There is no way to answer without knowing how

  1. Physics

    A 7900- helicopter accelerates upward at 0.90 while lifting a 1100- frame at a construction site. A) What is the lift force exerted by the air on the helicopter rotors? B)What is the tension in the cable (ignore its mass) that

  2. physics

    The angular speed of the rotor in a centrifuge decreases from 226 to 186.0 rev/s with an angular deceleration of 6.4 rev/s2. During this period, how many revolutions does the rotor turn?

  3. Physics

    Starting from rest, a 2500 kg helicopter accelerates straight up at a constant 1.7 m/s2. What is the helicopter's height at the moment its blades are providing an upward force of 29 kN? The helicopter can be modeled as a

  4. physics please help me

    A ceiling fan is turned on and a net torque of 1.6 N·m is applied to the blades. The blades have a total moment of inertia of 0.25 kg·m2. What is the angular acceleration of the blades?

  1. Physics

    During a rescue operation, a 5350 kg helicopter hovers above a fixed point. The helicopter blades send air downward with a speed of 59.0 m/s. What mass of air must pass through the blades every second to produce enough thrust for

  2. Physics

    The blades in a blender rotate at a rate of 6500 rpm. When the motor is turned off during operation, the blades slow to rest in 2.6 s. 1. What is the angular acceleration as the blades slow down?

  3. Physics

    An attack helicopter is equipped with a 20- mm cannon that fires 198 g shells in the forward direction with a muzzle speed of 711 m/s. The fully loaded helicopter has a mass of 4810 kg. A burst of 75.3 shells is fired in a 6.27

  4. Physics

    The blades of a fan running at low speed turn at 200 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 340 rpm in 5.92 s. (a) What is the magnitude of the angular acceleration of the blades? (b)

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