- #1
physicsgal
- 164
- 0
i think i have part a right (but who knows). i don't know about part b. any help is appreciated!
1) a car is traveling at 80km/h, and is towing a trailer. the wheels of the trailer are 40cm in diameter.
a) determine the angular velocity in rad/s and degrees/s
radius = 40cm/2 = 20 cm
distance traveled in 1 hr = 80km = 8,000,000
1 hr = 3600s
distance traveled in 1s = 8,000,000/3600 = 2,222.222
#of rotation in 1s = 2222.222/20pi = 35.37
angular velocity = 35.27 x 2pi = 70.74pi rads
70.74pr x (180/pi) = 6,372 degrees per second
b) through what angle does the tire turn in 60s? state your answer in radians and degrees
for this one i could just go 35.37 x 60s = 2122.7
360degrees x .7 = 252degrees?
252degrees x (pi/180) rad = 4.4 rad
?
and then i have to explain why radians are better than degrees in these types of questions. i haven't the foggiest idea.
~Amy
Homework Statement
1) a car is traveling at 80km/h, and is towing a trailer. the wheels of the trailer are 40cm in diameter.
a) determine the angular velocity in rad/s and degrees/s
radius = 40cm/2 = 20 cm
distance traveled in 1 hr = 80km = 8,000,000
1 hr = 3600s
distance traveled in 1s = 8,000,000/3600 = 2,222.222
#of rotation in 1s = 2222.222/20pi = 35.37
angular velocity = 35.27 x 2pi = 70.74pi rads
70.74pr x (180/pi) = 6,372 degrees per second
b) through what angle does the tire turn in 60s? state your answer in radians and degrees
for this one i could just go 35.37 x 60s = 2122.7
360degrees x .7 = 252degrees?
252degrees x (pi/180) rad = 4.4 rad
?
and then i have to explain why radians are better than degrees in these types of questions. i haven't the foggiest idea.
~Amy