A spherical object falling in a fluid has three forces acting on it: (1) The gravitational force, whose magnitude is F_g = mg, where m is the mass of the object and g is the acceleration due to gravity, equal to 9.80 m s⁻²; (2) The buoyant force, whose magnitude is F_b = m_fg, where m_f is the mass of the displaced fluid, and whose direction is upward; (3) The frictional force, which is given by F_f = −6πηrv, where r is the radius of the object, v is its velocity, and η is the coefficient of viscosity of the fluid. This formula for the frictional forces applies only if the flow around the object is laminar (flow in layers). The object is falling at a constant speed in glycerol, which has a viscosity of 1490 kg m⁻¹ s⁻¹. The object has a mass of 0.00381 kg, has a radius of 0.00432 m, a mass of 0.00381 kg, and displaces a mass of fluid equal to 0.000337 kg. Find the speed of the object.