I need answer for 6,7,8,9 and please follow the instructions given on first page ### Physics and Mathematics Problems for Advanced Students---6. **Wind Machine Blade Speed Calculation** - **Problem:** A wind machine used to generate electricity has blades that are 28 ft in length. The propeller is rotating at 4 revolutions per second. Find the linear speed of the tips of the blades in ft/min. - **Solution:** _________________________________---7. **Windshield Wiper Path Length** - **Problem:** If a windshield wiper with a rubber part that is 17.5 inches long (blade and arm) rotates 158°, then what is the length of the path that the tip of the blade and the arm make to the nearest tenth of an inch? - **Solution:** _________________________________---8. **Bicyclist Speed Calculation** - **Problem:** How fast is a bicyclist traveling in miles per hour if his tires are 16 inches in diameter and the tire makes 2.75 revolutions per second? Use dimensional analysis in steps when you show your work. (Round to the nearest whole number) - **Solution:** _________________________________---9. **Pendulum Distance Calculation** - **Problem:** The pendulum on a grandfather clock swings from side to side once every second. The length of the pendulum is 4.5 feet, and the angle through which it swings is 20°. Find the total distance traveled by the tip of the pendulum on the grandfather clock in one minute. - **Solution:** _________________________________ **Title: Trigonometry and Circular Motion Problems****Instructions:**YOU MUST SHOW ALL FORMULAS AND STEP-BY-STEP CONVERSIONS (dimensional analysis) WHEN NEEDED. YOUR WORK MUST BE NEAT AND ORGANIZED. WRITE YOUR SIMPLIFIED ANSWERS ON THE LINES PROVIDED. READ THE DIRECTIONS CAREFULLY (especially rounding) AND DRAW PICTURES TO HELP.---**Formulas:**- Arc length formula: \( s = r\theta \)- Area of a sector formula: \( A = \frac{1}{2} r^2 \theta \)- Angular velocity: \( \omega = \frac{\theta}{t} \)- Linear velocity: \( v = r\omega \)**Problems:**1. **Finding Distance Between Two Cities on the Same Meridian:** Saint Petersburg, Russia and Alexandria, Egypt lie approximately on the same meridian. Saint Petersburg has a latitude of 60° N and Alexandria 32° N. Find the distance (in whole miles) between these two cities if the radius of the earth is about 3960 miles. **Solution:** 1. ___________________2. **Determining the Area of Watered Sector on a Lawn:** Sprinkler heads come in assorted sizes depending on the angle of rotation desired. If a sprinkler head rotates 115° and has the pressure to keep a constant 14.5-foot spray, what is the area of the sector of the lawn that gets water? Round to the nearest square foot. **Solution:** 2. ___________________3. **Calculating the Angular Velocity of a Lighthouse Beacon:** A lighthouse in the middle of a channel rotates its light in a circular motion with constant velocity. If the beacon of light completes one rotation every 8.5 seconds, what is the exact angular velocity of the beacon in radians per minute? **Solution:** 3. ___________________4. **Gear Rotation Problem:** Consider two gears working together (in a pulley-like situation) such that the smaller gear has a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radian measure of rotation of the smaller gear when the large gear makes three complete rotations. **Solution:** 4. ___________________5. **Finding the Speed of an Automobile Based on Tire Rotations:** Each tire

As per the guidelines I am providing the solution to the first question. Answer 6: Given Blade…

Answered: 6. A wind machine used to generate…

6. A wind machine used to generate electricity has blades that are 28 ft in length. The propeller is rotating at 4 revolutions per second. Find the linear speed of the tips of the blades in ft/min. 6

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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