Question

Please help. WILL MEDAL! The wheels of the mountain bike have a diameter of 26 inches and are revolving at 60 radians per minute. What is the linear velocity of the mountain bike in feet per hour? @Mehek14 @nincompoop @sleepyjess @KendrickLamar2014 @imqwerty @satellite73 @jim_thompson5910 @zepdrix @Loser66 @Vocaloid @bahrom7893 @Elsa213 @xapproachesinfinity @Owlcoffee

Answer 1

\[\frac{ 60 rad. }{ 1 \min. } = \frac{ ? ft. }{ 1 hr. }\]

Answer 2

`The wheels of the mountain bike have a diameter of 26 inches`
use this information to figure out the circumference

Answer 3

circumference = 26pi in.

Answer 4

yes

Answer 5

the bike travels \(\Large 26\pi\) feet when the wheel does a full 360 degree revolution

Answer 6

ok...

Answer 7

we have to use that as a conversion factor to convert from rad/min to ft/min

Answer 8

360 degrees = 2pi radians

Answer 9

\[\frac{ 60 rad }{ 1 \min }\times \frac{ 26\pi ft. }{ 2\pi rad. }\]

Answer 10

So now we have ft. per min. which is an easy unit-multiplier.

Answer 11

then you'll use the conversion factor (60 min/1 hr) to convert from ft/min to ft/hr

Answer 12

Are you sure it is pi feet or should it be pi in.

Answer 13

because the bikes diameter is in inches

Answer 14

right

Answer 15

so you'll need to convert from inches to feet

Answer 16

so that should be inches?