Question

2· Plot the mechanical advantage for the cyclist. The velocity of the quad is the input and the velocity of the pedal is the output. A good cyclist should be able to maintain a 90 RPM cadence at the pedals. You can solve this using velocity or position data alone, your choice. Use the following lengths: Hip to knee- 16, knee to pedal - 20in, length of pedal crank arm-6.Sin, ength of seat post-30in. The seatpost is at a 73deg angle relative to the x axis

Answer 1

SOLUTION

Let ws ,wg , ww are the angular velocity of pedal gear, smaller peddle gear and wheel respectively.

As we know linear velocity=angular velogity radius

As given linear velocity of 4 in spracket and 2 in gear are same

ws 4=wg 2

75*4=wg*2

wg=150 revolutions per minute

now angular velocity of small peddle gear is same as angular velocity of wheel

wg=ww=150rpm

velocity of wheel will be= ww*radiusof wheel

=150*13

=1950 in/min