Awheel of radius 14 inches is rotating 0.5 rad/s. what is the linear speed v, the angular speed in rpm, and the angular speed in deg/s?

First, let us find for the linear speed v. The formula for this is:

v = r w

where r is radius and w is radial velocity, therefore the linear speed is:

v = 14 inches (0.5 rad / s)

v = 7 inches / s

Now calculating for angular speed in rpm or revolutions per minute:

angular speed in rpm = (0.5 rad / s) (1 rev / 2π rad) (60 s / min)

 angular speed in rpm = (15/π) rpm = 4.77 rpm

Finally calculating for angular speed in deg per second:

angular speed in rpm = (0.5 rad / s) (360° / 2π rad)

 angular speed in rpm = (90/π) deg/s = 28.65 deg/s

what are the statements? x

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂