Precalculus

A Ferris wheel has a radius of 30 feet and travels 6.8 feet every second. At what constant angular speed does the Ferris wheel rotate at (in radians per second)?
 ______radians per second   

A Ferris wheel has a radius of 26 feet and travels 2 radians every 4 seconds. At what constant angular speed does the Ferris wheel rotate at (in radians per second)?
 ________radians per second   

  1. 👍
  2. 👎
  3. 👁
  1. It takes 30*2π/6.8 = 27.72 seconds to make one revolution. That is an angular speed of
    2πrad/27.72s = 0.2267 rad/s
    ω = 2π rad / (2π*30ft * 1s/6.8ft) = 1/(30/6.8) = 0.2267 rad/s

    Do the other in like wise.

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A Ferris wheel has a maximum height of 245 feet and a wheel diameter of 230 feet. Find an equation for the wheel if the center of the wheel is on the​ y-axis and y represents the height above the ground. equation is ?

  2. trig

    1. A Ferris wheel with a radius of 7m makes one complete revolution every 16 s. The bottom of the wheel is 1.5m above ground. a)Find the equation of the graph b)predict how the graph and the equation will change if the Ferris

  3. Math

    A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16s. The bottom of the wheel is 1.5 m above the ground. Find the amplitude, vertical shift, phase shift and k value and period. Do all calculations

  4. college trig word problem

    A Ferris wheel has a radius of 25 feet.The wheel is rotating at two revolutions per minute.Find the linear speed, in feet per minute, of a seat on this ferris wheel.

  1. Trig

    The seats of a Ferris wheel are 40 feet from the​ wheel's center. When you get on the​ ride, your seat is 6 feet above the ground. How far above the ground are you after rotating through an angle of 17pi/4?

  2. Math-Trigonometry

    Can someone help me with this problem. -A Ferris wheel has a radius of 37.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.

  3. Physics

    A particular Ferris wheel takes you through one complete revolution every 25.3 seconds. If the radius of the Ferris wheel is 10.4 m, and your mass is 63.3 kg, calculate: (a) Your apparent weight, in N, when you are at the top of

  4. Math

    a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to

  1. Precalculus

    you are sitting on a ferris wheel car. The wheel has a radius of 50 feet and makes 3 revolutions per minute. What is your linear speed in feet per minute?

  2. math

    A Ferris wheel with a radius of 24 feet takes 1 minute to complete one revolution. When a seat is at its lowest point, it is 5 feet above the ground. Write an equation for the height h(t) of the ferris wheel for any time t.

  3. Trig

    As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. When the last passenger boards the ferris wheel and the ride starts moving, let your position be modeled by the diagram provided. Let t be

  4. trig

    A ferris wheel with a diameter of 100 feet rotates at a constant rate of 4 revolutions per minute. Let the center of the ferris wheel be at the origin. 1. Each of the ferris wheel's cars travels around a cirlce. a) Write an

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