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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.
Answer: 13/8
Step-by-step explanation:
A mixed number is an addition of its whole and fractional parts.
1
+
5
8
Write
1
as a fraction with a common denominator.
8
8
+
5
8
Combine the numerators over the common denominator.
8
+
5
8
Add
8
and
5
.
13
8
Answer:
<h3>
aₙ = 8n + 27</h3>
Step-by-step explanation: