The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles. (a) determine the angle (in radians) through which one of these tires will rotate during the warranty period. (b) how many revolutions of the tire are equivalent to your answer in part (a)

A) Equation relating arc length to subtended angle:

s = rθ

s = arc length, r = radius, θ = angle

Given values:

s = 6×10⁴mi = 3.168×10⁸ft, r = (2.0ft)/2 = 1.0ft

Plug in and solve for θ:

3.168×10⁸ = 1.0θ

θ = 3.168×10⁸rad

B) One revolution is equal to 2π radians, so divide θ by 2π to obtain the number of revolutions:

3.168×10⁸/(2π)

= 5.042×10⁷ revolutions

you would expect a sound wave to speed up. - b)

the word that best describes martin luther king jr.'s tone in the video is dignified

martin luther king, jr. was a social activist and baptist minister who played a key role in the american civil rights movement from the mid-1950s until his assassination in 1968. the video shows his manner and attitude having or showing a composed or serious manner that is worthy of respect so dignified is the correct answer