math

The 2 pulleys in the figure have radii of 15 cm and 8 cm, respectively. The larger pulley rotates 25 times in 36 seconds find the angular velocity of each pulley in radians per second. Find angular velocity of each pulley in radians per second.

  1. 👍 0
  2. 👎 0
  3. 👁 2,041
  1. 2π(15)/(2π(8)) = 1.875 or 15/8

    so for each rotation of the large pulley, the smaller rotates 1.875 times or 15/8 times.

    angular velocity of large one = 25(2π)/36 radians per second
    = 25π/18 rad/s

    angular velocity of smaller = (15/8)(25π/18) rad/s
    = 125π/48 rad/s

    1. 👍 0
    2. 👎 0
  2. 4.36 rad/sec

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chem

    Order the elements S, Cl, and F in terms of increasing atomic radii. I thought the answer was F, S, Cl, but the answer key said it was S, F, CL Why? AR decreases from left to right. Sulfur has one more energy level, so shouldn't

  2. physics

    The pulley in the figure represents different pulleys with outer radius and inner radius indicated in the table. The horizontal rope is pulled to the right at a constant speed that is the same in each case, and none of the ropes

  3. physics

    An arrangement of two pulleys, as shown in the figure, is used to lift a 49.6-kg mass a distance of 3.70 m above the starting point. Assume the pulleys and rope are ideal and that all rope sections are essentially vertical. (a)

  4. pre-algebra

    Figure B is the image of Figure A. Which description explains how Figure A was transformed to create figure B. A. Figure A was Reflected across a horizontal line of reflection to create Figure B. B. Figure A was rotated 180 °

  1. CHEM HELP ANYONE ASAP

    Arrange the members of the following set of cations in order of increasing ionic radii: Sr2+ Ba2+ Rb+ K+ I understand that Sr2+ = 132 pm Ba2+ = 149 pm Rb+ = 166 pm K+ = 152 pm increasing ionic radii ....Sr2+ , Ba2+ , K+, Rb+ But

  2. Physics

    The pulley system shown in the figure is used to lift a 37 kg crate. Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. Assume that the masses of the chains,

  3. physics

    Two blocks with masses M1 = 3.9 kg and M2 = 5.0 kg are connected with a massless string over two massless and frictionless pulleys, as shown in the Figure. One end of the string is connected to M1 while the other end is fixed.

  4. Physics

    The femur of a human leg (mass 10 kg, length 0.9 m) is in traction, as shown in the figure below. The center of gravity of the leg is one-third of the distance from the pelvis to the bottom of the foot. Two objects, with masses m1

  1. Math

    A belt fits tightly around two pulleys of radii 4 cm and 6 cm respectively and the distance between their centers is 20 cm. Find the length of the belt. I know the answer is 71.62cm from the answer key but I need to know the

  2. cal

    Consider the following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radii br and aR. (Let a = 8 and b = 2.) dy (b) By interpreting the integral as an area, find the volume

  3. Math

    Circle S and Circle U are congruent circles. The figure shows two circles with their center labeled as Upper S and Upper U. The two circles overlap each other such that they intersect at points Upper R and Upper T. D Name three

  4. physics

    A worker in a warehouse uses a rope passing through some pulleys to lift a heavy crate. The worker exerts a force five times less than the weight of the crate but has to move the rope four times as far as the crate moves. This

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