(a) 
The torque exerted on the solid disk is given by
where
F is the magnitude of the force
r is the radius of the disk
is the angle between F and r
Here we have
F = 180 N
r = 0.280 m
(because the force is applied tangentially to the disk)
So the torque is
(b) 
First of all, we need to calculate the moment of inertia of the disk, which is given by
where
m = 75.0 kg is the mass of the disk
r = 0.280 m is the radius
Substituting,
And the angular acceleration can be found by using the equivalent of Newtons' second law for rotational motions:
where
is the torque exerted
I is the moment of inertia
is the angular acceleration
Solving for , we find:
Answer:
39 m/s²
Explanation:
initial Velocity (u) = 9m/s
acceleration (a) = 1.5m/s²
time(t) = 20s
V=u + at
V=9 + 1.5(20)
V=9 + 30
V=39m/s
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Answer:
E = 1.44*10⁹* Q N/C
Explanation:
- The Electric Field due to any of the charges, at the center of the rectangle, can be expressed as follows:
where K = 9*10⁹ N*m²/C², Q is the charge (in Coulombs) of any
charge, and r is the distance of the charge to the center of the
rectangle, which it is exactly half of the diagonal of the rectangle.
- If the sides of the rectangle are 8m and 6m, the diagonal of the rectangle, just applying the Pythagorean Theorem, is as follows:
so, r = 5 m.
- Replacing by the givens, the electric field due to one of the charges is simply:
- Due to the symmetry of the problem, the magnitude of the Electric Field due to any of the charges will be the same (assuming all charges are equal each other), so the total electric field, in magnitude, will be just four times the one due to any of the charges, as follows:
