# a wheel with radius of 0.5 and mass of 10kg is spinning . A 10N force is applied at edge of the wheel . what is the rotational acceleration?

a solid metal wheel with a radius of 0.5 and a mass of 10kg is spinning clockwise. A 10N force is applied to the edge of the wheel in the same direction as the motion. what is the rotational acceleration

0.5 meter

### 2 Answers

- Anonymous4 months ago
0.5 feet, cm, inches or something else???

- billrussell42Lv 74 months ago
torque is 10 N x 0.5 somethings. which is 5 N-somethings.

to complete this we need the shape of the wheel, and the units for the radius. Then compute it's moment of inertia. as shown below.

then α = τ/I

angular acceleration in rad/s²

α = τ/I for constant α

I = moment of inertia in kg•m²

τ = torque in N•m

I is moment of inertia in kg•m²

I = cMR²

M is mass (kg), R is radius (meters)

c = 1 for a ring or hollow cylinder

c = 2/5 solid sphere around a diameter

c = 7/5 solid sphere around a tangent

c = ⅔ hollow sphere around a diameter

c = ½ solid cylinder or disk around its center