Question

Problem:

A scrambler carnival ride has three Y-shaped arms from the center with length of 12 ft each. And four arms branched from each of the main arm and the branched arm has length of 8 feet each. (Summary: main arms: 3 and has 12 feet length each ; branched arms from each main arm: 4 per main arm and have 8 feet length each.)

For the long arms =12ft -- 1 revolution / 5 secs

For the short arms = 8ft -- 1 revolution / 3 secs

Now, I want to know what’s the acceleration will be if we double the speed.

If we double the speed:

For the long arms =12ft -- 1 revolution / 2.5 secs

For the short arms = 8ft -- 1 revolution / 1.5 secs

Answer 1

Speed, V = R * W (1)

where W is angular speed

W = 2 * pi * f (2)

where f is frequency

from equation (1) and (2)

we have V = R * 2* pi * f

f = V / ( 2 * pi* R) .......(3)

from equation (3) it is clear that frequency f is proportional to speed V. It means if we double the speed, frequency will also get doubled.

AFTER DOUBLING THE SPEED

Now, For 12 feet arms, F = 2* f = 2* 1 revolution / 5

F = 1 revolutions / 2.5

Similarly for 8 feet arms,F = 2* f = 2*1 revolution / 3

F = 1 revolution / 1.5

where F is the new frequency after doubling the speed