Concept explainers
An amusement park ride is a spinning cylinder. At a certain speed the riders are pinned against the walls by the force of the spin and the floor drops out safely. The speed s in meters per second that is needed to pin the riders is given by s - 4,95 Vr where r is the radius of the cylinder in meters.
- Graph the function.
- What is an estimate for the radius of the ride if s — 12 meters per second? Round to the nearest hundredth of a meter.
a.
To graph: the function.
Explanation of Solution
Given information:
The function is
Graph: to draw the graph, use the point plotting method,
Now, by using the above table, the graph can be obtained as:
Interpretation: from the above table it can be observed that the domain of the function is
b.
To find: the radius.
Answer to Problem 6STP
The radius is
Explanation of Solution
Given information:
The function is
Calculation: to find the radius first substitute and then simplify,
Thus, the radius is
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