What is the formula for Linear & Angular Velocity Calculator (v=ωr)?

Core formula: v = ω·r = 2π·n·r/60. The tool returns results instantly using this formula and the selected parameters.

Linear & Angular Velocity Calculator (v=ωr)

Compute linear velocity via v = ω·r = 2πn·r/60: enter rotational speed and radius to get linear and angular velocity.

Key points

Linear & Angular Velocity Calculator (v=ωr): Compute linear velocity via v = ω·r = 2πn·r/60: enter rotational speed and radius to get linear and angular velocity. Formula: v = ω·r = 2π·n·r/60. Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. v = ωr: linear velocity equals angular velocity times radius; at the same speed, a larger radius gives higher linear velocity (grinding wheels, cutting tools, tires). ω = 2πn/60 (n in rpm): 1500 rpm ≈ 157 rad/s; linear velocity v = 2πnr/60.

Inputs

v = ω·r = 2π·n·r/60

Calculation model (updates with parameters)

Linear velocity v	7.85m/s	v = ω·r
kilometer per hour	28.3km/h	Convert by × 3.6
Angular velocity ω	157rad/s	ω = 2πn/60
Circumference per revolution	0.314m	C = 2πr

Engineering notes

v = ωr: linear velocity equals angular velocity times radius; at the same speed, a larger radius gives higher linear velocity (grinding wheels, cutting tools, tires).
ω = 2πn/60 (n in rpm): 1500 rpm ≈ 157 rad/s; linear velocity v = 2πnr/60.
Engineering uses: checking motor shafts, pulleys, wheels and grinding-wheel surface speeds; high-speed rotors need centrifugal-stress and balance checks.

FAQ

What is Linear & Angular Velocity Calculator (v=ωr) for?: Compute linear velocity via v = ω·r = 2πn·r/60: enter rotational speed and radius to get linear and angular velocity.
What is the formula for Linear & Angular Velocity Calculator (v=ωr)?: Core formula: v = ω·r = 2π·n·r/60. The tool returns results instantly using this formula and the selected parameters.
What engineering notes should I keep in mind when using Linear & Angular Velocity Calculator (v=ωr)?: v = ωr: linear velocity equals angular velocity times radius; at the same speed, a larger radius gives higher linear velocity (grinding wheels, cutting tools, tires). ω = 2πn/60 (n in rpm): 1500 rpm ≈ 157 rad/s; linear velocity v = 2πnr/60. Engineering uses: checking motor shafts, pulleys, wheels and grinding-wheel surface speeds; high-speed rotors need centrifugal-stress and balance checks.