Answer:
The constant force is 263.55 newtons
Explanation:
There's a rotational version of the Newton's second law that relates the net torque on an object with its angular acceleration by the equation:
(1)
with τ the net torque and α the angular acceleration. It’s interesting to note the similarity of that equation with the well-known equation F=ma. I that is the moment of inertia is like m in the linear case. The magnitude of a torque is defined as
with F the force applied in some point, r the distance of the point respect the axis rotation and θ the angle between the force and the radial vector that points toward the point the force is applied, in our case θ=90 and sinθ=1, then (1):
(2)
Because the applied force is constant the angular acceleration is constant too, and for constant angular acceleration we have that it's equal to the change of angular velocity over a period of time:
It's important to work in radian units so knowing that
(3)
The moment of inertia of a disk is:
(4)
with M the mass of the disk and R its radius, then
using the values (3) and (4) on (2)
(2)
Because the force is applied about the rim of the disk r=R=1.50:
Yo take a better picture nobody can read that.
My estimate of brightness,
Number of batteries on a scale of 1 to 10
1 very dim
2 1
3 1 and 1/2
4 6
5 10 for a second, then
the bulb burned out
and changed to zero.
Answer:
Velocity in the smaller pipe should not be included as an additional variable.
Explanation:
The dimensional formula of the variables are
Now using Buchingham's Pi Theorem, 6 - 3 = 3 dimensional parameters are required.
Use, D_1, V, \mu as the repeating variables.
Therefore,
From this
1+c=0
-2+a+b-2c=0
-b+c=0
c=-1, b = -1, a = 1
Now,
For
c = 0
1 + a + b - 2c = 0
-b + c = 0
Therefore, a = -1, b = 0, c = 0
For
1 + c = 0
-4 + a + b - 2c = 0
2-b+c=0
c=-1, b=1, a = 1
Therefore,
Now checking,
Therefore,
From continuity equation
is not independent of
Therefore it should not be included as an additional variable.