Answer:
180.07 rev / min
Step-by-step explanation:
Diameter (D) of each wheel =28 inches
Circumference (C) = π x 28 = 28π inches
Conversions:
1 mile = 63,360 inches
1 hour = 60 min
Hence 15 miles / hour
= (15)(63,360) inches / hour
= (15)(63,360) / 60 inches / min
= 15,840 inches per min
Number of revolutions per min = Number of inches per min ÷ circumference in inches
=15,840 inches/min ÷ 28π inches
= 180.07 revolutions per min
Answer:
∡x = 20°
∡y = 160°
∠z = 160°
Step-by-step explanation:
Angles on a straight line sum to 180°
⇒ ∠z + 20° = 180°
⇒ ∠z = 180° - 20°
⇒ ∠z = 160°
The central angle measure equals the corresponding arc measure.
⇒ ∡x = 20°
⇒ ∡y = ∠z = 160°