What is the height above ground for a person riding a Ferris wheel after T seconds?

The height above ground for a person riding a ferris wheel after t seconds is modeled by h(t) = 150 sin (π/45 t+67.5) + 160 feet .

What changes when the Ferris wheel has a larger radius?

When the Ferris wheel has a larger radius, the amplitude of the cosine function is affected , which represents the distance from the center to the maximum or minimum height of the wheel. An increase in radius will increase this amplitude, leading to a higher maximum height reached by the rider on the Ferris wheel.

What is the Ferris wheel equation for height?

Ferris Wheel Height Equation The height equation provided by the exercise, π π h ( t ) = 53 + 50 sin ( π 16 t − π 2 ) , encapsulates all of the Ferris wheel's motion characteristics into a single expression.

What is the height h in feet of a projectile t seconds after launch is modeled?

The height h, in feet, of a projectile t seconds after launch is modeled by the equation h=32t-16t^(2) .

What is the math for the Ferris wheel?

The height of the point over time is given by the equation h ( t ) = R + R sin ⁡ , where R is the radius of the Ferris wheel (half of the diameter), and is the frequency of rotations. The height is minimum at 0, maximum at the diameter; since the wheel starts at the bottom, we can use the sine function.

What is the Ferris wheel theory?

The centripetal acceleration always points towards the center of the circle . So at the bottom of the circle, the centripetal acceleration is pointing up, so riders feel heavier than their true weight. At the top of the circle, it is pointing down, so riders feel lighter than their true weight.

Does a Ferris wheel rotate or revolve?

The Ferris wheel turns about an axis. The Ferris wheel rotates , while the riders revolve about its axis.

What is the height of a ball t seconds after it is kicked upward?

The height of the ball above the ground after time t second from when the ball was thrown is given by the expression h(t)= −t2+at+b .

How do you find the height of the ball after t seconds?

The formula for the height of a ball as a function of time is given by the equation h = -16t^2 + vt + h , where h is the height of a ball in feet, v is the initial velocity of the ball in feet per second, h is the initial height of the ball in feet, and t is the time in seconds after the ball was thrown.

What is the height h in feet of an object t seconds after it is dropped?

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0 , where h0 is the initial height of the object.

What is the general formula for the height h after t seconds?

The general formula for the height, h, after t seconds of a projectile launched upward from the ground level with initial speed, v is h=vt-1/2gt^2 where g is the gravatational constant (9.8 m/s^2 or 32 ft/s^2).

SOLVED: A Ferris wheel is designed in such way that the height (h, in feet; of the seat above the ground at any time; is modeled by the function # () = 60 55 sin ( it+ )What is the maximum height seat reaches?55 feet60 feet115 feet110 feet (2024)

See Also

Ferris wheel Facts for Kids

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SOLVED: A Ferris wheel is designed in such way that the height (h, in feet; of the seat above the ground at any time; is modeled by the function # () = 60 55 sin ( it+ ) What is the maximum height seat reaches? 55 feet 60 feet 115 feet 110 feet (2024)

FAQs

What is the height above ground for a person riding a Ferris wheel after T seconds? ›

What is the general formula for the height h after t seconds? ›

References