Arace car is driven around a circular track at a constant speed of 180 miles per hour. if the diameter of the track is 1/2 mile, what is the angular speed of the car? express your answer in revolutions per hour (which is equivalent to laps per hour)

f the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

Step-by-step explanation:

the angular speed is theta/time, which means

w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2 radius), that is:

w=180*(1/2*0.25)

and if we calculate this, we have: w=114.59, which is the correct answer!

Hope this helped :)

comment for more help, I'll reply asap.

-3.396 = -3.4

-0.708 = -0.7

0.304 = 0.3

0.955 = 1

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.