Final answer:
To find the linear speed at a point on the outer edge of the gear, multiply the radius of the gear by the angular velocity.
Step-by-step explanation:
To find the linear speed at a point on the outer edge of the gear, we can use the equation v = r * ω, where v is the linear speed, r is the radius of the gear, and ω is the angular velocity. In this case, the radius is 8 cm and the angular velocity is 70 radians per second. Plug in the values to calculate:
v = 8 cm * 70 rad/s = 560 cm/s
Therefore, the linear speed at a point on the outer edge of the gear is 560 cm/s.