SOLUTION: The blades on a model windmill take 4 seconds to make a full rotation. At the lowest point, the tip of the blade is 0.5m off the ground, and at the highest point the tip of the bla
Algebra.Com
Question 348808: The blades on a model windmill take 4 seconds to make a full rotation. At the lowest point, the tip of the blade is 0.5m off the ground, and at the highest point the tip of the blade is 2.5m off the ground.
Question: Determine an algebraic equation relating the height(h) in metres of the tip of the blade above the ground at time(t) in seconds.
Please let me know of a possible equation. Thank You!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The blades on a model windmill take 4 seconds to make a full rotation. At the lowest point, the tip of the blade is 0.5m off the ground, and at the highest point the tip of the blade is 2.5m off the ground.
Question: Determine an algebraic equation relating the height(h) in metres of the tip of the blade above the ground at time(t) in seconds.
----
Diameter of the fan: 5-2.5 = 2.5 m
----
amplitude = (1/2)2.5m = 1.25m
-----------------------------------
Period = (2pi)/b = 4 sec
b = 2pi/4
b = (1/2)pi
------
Vertical shift is the distance of the center of the fan from the ground
= 2.5 + 1.25 = 3.75 meters
-----------------------------------
Equation: y = 1.25*sin((1/2)pi*t) + 3.75
-------
-----------
Cheers,
Stan H.
RELATED QUESTIONS
The blade on a windmill takes 8 seconds to make a full rotation. At its lowest point, the (answered by greenestamps)
The tip of a blade of an electric fan is 1.5 feet from the axis of rotation . if the fan... (answered by CharlesG2)
How far does a point on the tip of a rotor blade travel when it makes one complete... (answered by Theo)
A blade on a water turbine turns 240˚ in 1.25 s. Find the linear speed of a point on (answered by Alan3354)
A wind turbine has a total height of 50m, with 3 equally spaced blades that are 16m in... (answered by Alan3354)
An airplane propeller whose blades are 5.50 feet long is rotating at 2400 rpm. Find the... (answered by solver91311)
1)The rotor blades of an helicopter are 16ft long and are rotaing at 120rmp.... (answered by Alan3354)
1. If cos Θ = negative two over five and tan Θ > 0, what is the value of sin... (answered by josgarithmetic)
(1) An airplane propeller idles at 200 rpm. A full rotation takes x seconds.
(2) A... (answered by ikleyn,Alan3354)