Aferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. how fast is a rider rising when his seat is 16 m above ground level?

The speed of rider is 8π m/min.

Explanation:

Given that

Radius = 10 m

Time t = 2 minutes

Distance = 16 m

According to figure,

Th height of rider at any time  is (x+10) m.

From the right triangle

.....(I)

Differentiate both side with respect to t

Using chain rule,

...(II)

When the height of the rider is 16 m.

Then the value of x is 6 m.

Put the value of x in the equation (I)

We need to calculate the value of

A Ferry wheel makes 1 revolution per 2 minutes.

Now, substitute the value of and in equation (II)

Hence, The speed of rider is 8π m/min.

the independent variable, or the one that is intentionally manipulated is the speed.

f=ma newton

f=100x2.5=250n