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1 dzień temu · Let \( C \) be the curve \( y = \sqrt{r^2-x^2}.\) The sphere of radius \(r\) is obtained by revolving \( C\) around the \( x\)-axis. The arc length \(L\) of \( C\) is just \( \pi r\) since it is half a circle. The centroid of \( C\) is on the \(y\)-axis by symmetry. Its \(y\)-coordinate is given by the formula
2 dni temu · How do you calculate the acceleration in circular motion? The centripetal acceleration (\(a_c\)) in circular motion is given by \(a_c = \frac{v^2}{r}\), where \(v\) is the velocity and \(r\) is the radius of the circle.
3 dni temu · How do you calculate the average radius if the diameter is given? The radius is half of the diameter. If the diameter is given, divide it by 2 to find the radius.
4 dni temu · The Hydraulic Radius (R) is calculated using the following formula: \[ R = \frac{A}{P} \] Where: \( A \) is the Cross-Sectional Area of the flow (m²). \( P \) is the Wetted Perimeter, the length of the line where the fluid touches the channel (m). Example Calculation. Consider a rectangular channel where: Cross-Sectional Area (A) = 10 m²
2 dni temu · To prove that the surface area of a sphere of radius \(r\) is \(4 \pi r^2 \), one straightforward method we can use is calculus. We first have to realize that for a curve parameterized by \(x(t)\) and \(y(t\)), the arc length is
5 dni temu · Segment of a Circle Area Calculator. In geometry, a circular segment is a region of a circle which is "cut off" from the rest of the circle by a secant or a chord. Area = radius 2 2 * ( π 180 * θ - sin (α)) Angle. Radius. Calculate. Reset. Details: A = r 2 2 * ( π 180 * α - sin (α)) =
3 dni temu · We can calculate an angle’s arc length if we know it’s radians. For example, if an angle is π/4 radian, then we can determine its arc length. To convert, we multiply by π/180 (since 180 degrees = π-radian circle).
