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3 years ago

Describe the wheel setup on a roller coaster car.

1 answer:

4 0

A typical wheel used on a roller coaster is constructed by taking an aluminum hub and bonding a polyurethane tire to the hub's outside diameter. This entire “wheel assembly” is then connected to the axle through a bearing.

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I shared a picture of the problem. It’s a basic Physics question and an Algebra question.

julia-pushkina [17]

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

Given the expressions;

$T_s = 2 \pi \sqrt{\frac{m}{k} } \ and \ T_s = \frac{2 \pi}{\omega}$

Equating both expressions we will have;

$2 \pi \sqrt{\frac{m}{k} } = \frac{2 \pi}{\omega}$

Divide both equations by 2π

$\frac{2 \pi\sqrt{\frac{m}{2 \pi} } }{2 \pi}=\frac{\frac{2 \pi}{\omega} }{2\pi}\\\sqrt{\frac{m}{2 \pi} } = \frac{1}{\omega}\\$

Square both sides

$(\sqrt{\frac{m}{k} } )^2 = (\frac{1}{\omega} )^2\\\frac{m}{k} = \frac{1}{\omega ^2} \\\omega ^2 = \frac{k}{m}$

Take the square root of both sides

$\sqrt{\omega ^2} =\sqrt{\frac{k}{m} } \\\omega = \sqrt{\frac{k}{m}$

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

3 0

3 years ago

How does a pulley make work easier?

emmasim [6.3K]

it helps use less weight to pick up things and makes it way easier to work

7 0

4 years ago

Read 2 more answers

Two trains are on separate but parallel tracks running east and west. One has a speed of 90 km/h, the other 80 km/h. Initially,

Tanzania [10]

Answer: 4 hours

Explanation: Their approach rate is 100+140 or 240 km/h and 960/240 which equals 4 hours

4 0

4 years ago

Why does it take longer to boil a kettle of water than to warm the same kettle of water to a lower temperature?

lys-0071 [83]

Answer:

The reason that it takes longer to get the water to boiling temperature than it is to cool it down again is because heating in the most simple sense is inefficient and will cause a lot if energy lost while cooling is to be turn's into quite a efficient process.

Explanation:

6 0

2 years ago

Un vehículo parte del reposo y acelera constantemente a 6 m/s2

grin007 [14]

Iskkkkkkkkkkkkkkkkmknnnn

4 0

3 years ago