Question

A ferris wheel with radius r rotates freely about its central
point with initial angular speed wi. A cart on the end
moves at linear speed 2v.
Suddenly, the ride deaccelerates so the cart moves with
speed v. The final angular speed is Of.
How does the angular speed of the ferris wheel
change?
Choose 1 answer:

Answer 1

Answer:

decreases by 2

Explanation:

Answer 2

The angular speed of the ferris wheel decreased by a factor of 2.

Angular speed

The angular speed of an object is the rate of change of angular displacement with time.

Relationship between angular speed and linear speed

v = ωr

$r = \frac{\omega }{v} \\\\\frac{\omega_1 }{v_1} = \frac{\omega_2 }{v_2} \\\\\omega_2 = \frac{\omega _1 v_2}{v_1} \\\\\omega _2 = \frac{\omega _i \times v}{2v} \\\\\omega _2 = \frac{1}{2} (\omega _1)$

Thus, the angular speed of the ferris wheel decreased by a factor of 2.

Learn more about angular speed here: https://brainly.com/question/6860269