Centripetal acceleration is given by:
a = v²/r
a = centripetal acceleration, v = speed of cylinder at surface, r = radius of cylinder
This equation relates the speed of the cylinder at its surface to its angular velocity:
v = rω
v = speed at surface, r = radius, ω = angular velocity
Make a substitution:
a = (rω)²/r
a = rω²
Given values:
a = 9.81m/s², r = (5.0mi)/2 = 2.5mi = 4023m
Plug in and solve for ω:
9.81 = 4023ω²
ω = 0.049rad/s
Answer:
to find the displacement, or delta x (change in position) on a velocity graph, you can find the area under the line on the graph: between 1 and 8 seconds, the dog was going at 5m/s, so 5m/s x 8s=40m, for the second part, you have to find the area of both a triangle and a rectangle, so the rectangle would be 5m/s x 5s=25m and the area under the triangle would be (5m/s x 5s)/2=25m/2=12.5m -you divide by 2 because it's a triangle
-afterwards, you would add the area of the 2 sections together, so 40m+25m+12.5m=77.5m
Explanation:
<u>Increase the thickness of the wire</u> would decrease the resistance in a wire
Explanation:
Thicker wires have a larger cross-section that increases the surface area with which electrons can flow unimpeded. The thicker the wire, therefore, the lower the resistance.
Thin wires have very high resistance the reason the thin tungsten in a bulb glows because it is heated from the high resistance of many electrons trying to pass through a very small cross-section.