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Los datos que tienes son:
R = 70 cm
ω = 100 rpm
v = ?
Pasas las unidades al SI
ω = (100 rev/min) (1 min) / (60 s) (2πrad) / (1 rev) =
ω = 200πrad / 60 s
ω = 200 (3,1416) rad / 60 s
ω = 628,32 rad / 60 s
ω = 10,47 rad/s
1 cm = 0,01 m
70 cm = x
x = 0,7 m
x = 0,7 m / 2
x = 0,35 m
Calculamos la velocidad lineal
v = ωR
v = (10,47 rad/s) (0,35 m)
v = 3,66 m/s
Respuesta.
v = 3,66 m/s