A golf club is swung with an average angular acceleration of 1.7 rad/s^2. If thee time from start of the swing until the club hits the ball is .7 s, what is the angular velocity of the club when it strikes the ball?
V = a*t = 1.7 * 0.7 = 1.19 m/s.
To find the angular velocity of the club when it strikes the ball, we can use the equation:
Angular velocity (ω) = Initial angular velocity (ω₀) + (Angular acceleration (α) × Time (t))
Given:
Initial angular velocity (ω₀) = 0 (assuming the club starts from rest)
Angular acceleration (α) = 1.7 rad/s²
Time (t) = 0.7 s
Using the equation, we can substitute the given values:
ω = 0 + (1.7 rad/s² × 0.7 s)
Now, we can solve the equation to find the angular velocity:
ω = 1.19 rad/s
Therefore, the angular velocity of the club when it strikes the ball is 1.19 rad/s.
To find the angular velocity of the club when it strikes the ball, we can use the equation:
Angular velocity (ω) = Initial angular velocity (ω₀) + Angular acceleration (α) × Time (t)
Given:
Angular acceleration (α) = 1.7 rad/s^2
Time (t) = 0.7 s
Since the club starts from rest (initial angular velocity ω₀ = 0), the equation simplifies to:
Angular velocity (ω) = Angular acceleration (α) × Time (t)
Plugging in the given values, we have:
Angular velocity (ω) = 1.7 rad/s^2 × 0.7 s
OR
ω = 1.19 rad/s
Therefore, the angular velocity of the club when it strikes the ball is approximately 1.19 rad/s.