Blade Circular

The circular blade of a saw has a diameter of 7.5 inches and rotates at 2400 revolutions per minute. Find the?
angular speed in radians per second and linear speed in feet per second.
The diameter is 7.5 inches. Rotation is 2400 revolutions per minute.
Angular speed in rd/s
1 revolution represents : 2.π rd
2400 revolution represents : 2.π.2400 rd = 4800.π rd
An angular speed of 4800π rd/mn is equal to : 4800.π/60 rd/s
So, you can write that the angular speed is : Ω = 80.π rd/s ≈ 251.32 rd/s
Linear speed in ft/s
1 revolution represents : π.D ft
2400 revolution per minute represents : π.D.2400 = 7.5π.2400 = 18000π ft/mn
A linear speed of 18000π ft/mn is equal to : 18000.π/60 ft/s
So, you can write that the linear speed is : S = 300.π ft/s ≈ 942.47 ft/s
Trimmer Stihl FS 130 + circular saw blade 200mm
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