Answer:
x - 231 ≤ 459
Step-by-step explanation:
Given:
Elevation ranges below sea level = 228 ft
Elevation ranges above sea level = 690 ft
Elevation = x
Computation:
Ideal range = [690-228] / 2 = 231
Tolerance range = [690+228] / 2 = 459
So,
x - 231 ≤ 459
8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
8 = 40320
Step-by-step explanation:
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One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.