Answer:
B
Step-by-step explanation:
P215/60R16 meaning
215 is width in millimeters
60 is the ratio of the height of the tire’s cross-section to its width
16 is wheel diameter
So rim height is
60*215/100 = 129 mm = 5 inches
Then, total diameter of tyre is
16'' + 5'' = 21''
that means radius is 21''/2 = 10.5''
The new tyre P235/70R16 have a height of
70*235/100 = 164.5 mm = 6.5''
and its total diameter is
16'' + 6.5'' = 22.5''
that means radius is 22.5''/2 = 11.25''
We know that linear velocity (v) is the radius (r) times the angular velocity ([tex]\omega[/tex]). For the first case
[tex] v_1 = r_1 \times \omega_1[/tex]
And for the second one
[tex] v_2 = r_2 \times \omega_2[/tex]
Angular velocity doesn't change from the first case to the second case, i. e., [tex]\omega_1 = \omega_2[/tex]. Combining the equations and replacing with values give
[tex] \frac{v_1}{r_1} = \frac{v_2}{r_2}[/tex]
[tex] \frac{v_1}{r_1} \times r_2 = v_2[/tex]
[tex] \frac{60 mph}{10.5} \times 11.25 = v_2[/tex]
[tex] v_2 = 63.8 mph[/tex]
