Civil and Environmental Engineering Answers

Simple harmonic motion

Supposed the lowest point of the Ferris wheel is 1.5 meters off the ground,

and its radius is 15 m. It makes one complete revolution every 30 seconds.

Starting at the lowest point, find a cosine function that gives the height

above the ground of a riding child in terms of time t in seconds. 

SIMPLE HARMONIC MOTION

A weight is suspended from a spring and is moving up and down in a simple

harmonic motion. At start, the weight is push up 6 m above the resting

position, and the released. After 14 seconds, the weight reaches again to its

highest position. Find the equation of the motion, and locate the weight with

respect to the resting position after 20 seconds since it was released.​

Area of a sector

Find the area of a sector of a circle having the radius of 6 cm and subtended by the central angle with measure 135°.

A circle has a radius of 10 inches and subtended by a central angle of 7π/6 radian. Find the area of a sector?

Find the area of a sector of a circle with central angle that measure 75° if the radius of a circle is 6m?

Length of an arc

Find the length of an arc of a circle having the radius of 8 cm and subtended by a central angle of 330°.

Find the radius of a circle subtended by a central angle of π/4 radius and having an arc length of π.

On a circle of radius 100 cm, the arc intercepted a central angle of 3π/4. What is the arc length?

A tapered pipe is bent at 600 in the vertical plane. The diameters of inlet and outlet are 200cm and 400cm respectively. The center of the outlet is 180cm above the inlet. The pressure at outlet Page 2 of 2 is 500Kpa. If the flow rate of 0.04m3/s, calculate the resultant force and direction of action of the force.

Find the reactions (in kips) at A and B for the beam shown.

Fig4.16 A is 2kips/ft at 16' and B is 1kips/ft at 10'

• Find the reactions (in kips) at A and B for the beam shown.

What are the basic fitting operations?explain briefly?

dy/dx + y/x = y^{3 solve in Bernoulli equation}

Expand the function using Maclaurin Series Expansion (first 8 terms).

1. (1+x)^1/2 , x=5