Question

What if the Ferris wheel below had equally spaced seats, such that the central angle were 20∘. If the radius of the Ferris wheel is 20 feet. How far is the space between the two adjacent seats?

Answer 1

When a Ferris wheel turns, torque from the motor, gravity on passengers, and air resistance act on it, affecting its angular velocity and angular momentum.

Step-by-step explanation:

Forces Acting on a Ferris Wheel

When a Ferris wheel begins to turn with people in the seats located at 4 o'clock, 1 o'clock, 9 o'clock, and 6 o'clock positions, several forces are acting on the system. The primary force causing the wheel to turn is the torque applied by the motor, which acts to change the wheel's angular velocity. In addition to this, the force of gravity acts on the passengers, causing a varying distribution of weight as the wheel spins.

This weight distribution affects the angular momentum of the Ferris wheel, potentially causing it to fluctuate unless the wheel is uniformly loaded. Air resistance also acts against the motion, particularly at higher speeds, albeit to a lesser degree. All these forces collectively influence the system's angular velocity and angular momentum.

Answer 2

about 7 feet

Step-by-step explanation:

The formula to find am arc length of a circle is 2(r)π·Ф/360

Ф=data

r=radius

The word problem provides the radius and the data so just substitute the values to get your answer.

r=20

Ф=20

2(20)(20)π/360

800/360·π

Now, you'd get 2.2 repeated but you'd want to turn it into fraction form then multiply by π.

20/9·π=6.98

It is personally preferable if you round 6.98 to the nearest whole number which is about 7 feet. Hope this helps!