Ford+F150+Speedometer

Tyler Seiverd Emily Daily Kayla Carroll

Two vehicles that are similar in all respects except the size of the tire have different linear speeds. Assume that you have purchased a standard Ford F150 and have decided to replace the standard tires with either a tire with a diameter of 29.2 inches or a tire with diameter of 24.4 inches without updating the on-board computer. How fast will the truck actually be traveling when the speedometer reads 75 mph for each new tire.

Standard Tire Size: 26.2" Speed: 75mph Tire Size: 29.2" Speed: 84mph Tire Size: 24.4" Speed: 70 mph

Angular Speed Standard- w=v/r velocity/radius w=75mph/13.1" 75mph x 5280'/1mi x 12"/1'= 4,752,000" w=4,752,000"/13.1" w=362,748"/hr 36,2748"/hr x 1'/12" x 1mi/5280'=5.73mph w=5.73 mph Linear Speed 29.2" v=r x w v=14.6" x 5.73mph v=84mph Linear Speed 24.4" v=r x w v=12.2" x 5.73mph v=70mph

Connections: Angular Speed- w=v/r velocity/radius Linear Speed- v=r x w