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.

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.