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:
4 pi cm
Step-by-step explanation:
Answer:
(4, 1)
Step-by-step explanation:
See attachment courtesy of Desmos.
Given:
There are 4 quarts in a gallon.
She wants to convert 6 quarts to a gallon.
To find:
Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.
Solution:
We have,



Here, 6 quarts is equal to
gallon. It means we need to multiply 6 by 4 in
to find the answer.
In this question, you know that the machine packs

of a box every

of a minute. Since it is constant, you simply have to double the half a minute to a full minute and then also double the rate to get

boxes packed per minute. And

is equal to