The volume of the cylinder is:
V= pi* (r^2) * h.
So the volume is = pi * (5.7/2)^2 * 12 = 306.2 in^2.
Since it is scaled up by the factor of 1.5, so we have to multiply each dimension with 1.5.
That means the diameter will be 8.55 and the height will be 18. so the scaled up volume will be
=pi * ((5.7*1.5)/2)^2 * (12*1.5)
The answer then would have to be 1033.5
So we want to know what is the resistance of the ceiling fan if the current I=0.625 A and the voltage V=120 V. So we can get the resistance from Ohms law: I=V/R where I is the current, V is voltage and R is resistance. So the resistance is R=V/I. Now we input the numbers and get: R=120/0.625=192 Ω. That is resistance to the closest whole number.
Answer:
Approximately
.
Explanation:
This question suggests that the rotation of this object slows down "uniformly". Therefore, the angular acceleration of this object should be constant and smaller than zero.
This question does not provide any information about the time required for the rotation of this object to come to a stop. In linear motions with a constant acceleration, there's an SUVAT equation that does not involve time:
,
where
is the final velocity of the moving object,
is the initial velocity of the moving object,
is the (linear) acceleration of the moving object, and
is the (linear) displacement of the object while its velocity changed from
to
.
The angular analogue of that equation will be:
, where
and
are the initial and final angular velocity of the rotating object,
is the angular acceleration of the moving object, and
is the angular displacement of the object while its angular velocity changed from
to
.
For this object:
, whereas
.
The question is asking for an angular acceleration with the unit
. However, the angular displacement from the question is described with the number of revolutions. Convert that to radians:
.
Rearrange the equation
and solve for
:
.